Simple and Elegant
T Gross, CJ Dommar D’Lima and B Blasius: Epidemic Dynamics on an Adaptive Network. Physical Review Letters 96, 208701, 2006.
[doi:10.1103/PhysRevLett.96.208701]
S Bornholdt and T Rohlf: Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics. Physical Review Letters 84, 6114—6117, 2000.
[doi:10.1103/PhysRevLett.84.6114]
M Paczuski, KE Bassler and A Corral: Self-Organized Networks of Competing Boolean Agents. Physical Review Letters 84, 3185—3188, 2000.
[doi:10.1103/PhysRevLett.84.3185]
B Skyrms and R Pemantle: A dynamic model of social network formation. Proceedings of the National Academy of Sciences 97, 9340—9346, 2000.
[doi:10.1073/pnas.97.16.9340]
MG Zimmermann, VM Eguíluz, M San Miguel et al.: Cooperation in an Adaptive Network. Advances in Complex Systems 03, 283—297, 2011.
[doi:10.1142/S0219525900000212]
SV Scarpino, A Allard and L Hébert-Dufresne: The effect of a prudent adaptive behaviour on disease transmission. Nature Physics 12, 1042—1046, 2016.
[doi:10.1038/nphys3832]
T Gross and B Blasius: Adaptive coevolutionary networks: a review. Journal of The Royal Society Interface 5, 259—271, 2007.
[doi:10.1098/rsif.2007.1229]
P Holme and MEJ Newman: Nonequilibrium phase transition in the coevolution of networks and opinions. Physical Review E 74, 056108, 2006.
[doi:10.1103/PhysRevE.74.056108]
F Vazquez, VM Eguíluz and MS Miguel: Generic Absorbing Transition in Coevolution Dynamics. Physical Review Letters 100, 108702, 2008.
[doi:10.1103/PhysRevLett.100.108702]
GA Böhme and T Gross: Analytical calculation of fragmentation transitions in adaptive networks. Physical Review E 83, 035101, 2011.
[doi:10.1103/PhysRevE.83.035101]
H Silk, G Demirel, M Homer et al.: Exploring the adaptive voter model dynamics with a mathematical triple jump. New Journal of Physics 16, 093051, 2014.
[doi:10.1088/1367-2630/16/9/093051]
G Demirel, E Barter and T Gross: Dynamics of epidemic diseases on a growing adaptive network. Scientific Reports 7, 42352, 2017.
[doi:10.1038/srep42352]
A Do, L Rudolf and T Gross: Patterns of cooperation: fairness and coordination in networks of interacting agents. New Journal of Physics 12, 063023, 2010.
[doi:10.1088/1367-2630/12/6/063023]
A Do, S Boccaletti and T Gross: Graphical notation reveals topological stability criteria for collective dynamics in complex networks. Physical Review Letters 108, 194102, 2012.
[doi:10.1103/PhysRevLett.108.194102]
H Yang, T Rogers and T Gross: Network inoculation: Heteroclinics and phase transitions in an epidemic model. Chaos: An Interdisciplinary Journal of Nonlinear Science 26, 083116, 2016.
[doi:10.1063/1.4961249]
C Meisel and T Gross: Adaptive self-organization in a realistic neural network model. Physical Review E 80, 061917, 2009.
[doi:10.1103/PhysRevE.80.061917]
C Meisel, A Storch, S Hallmeyer-Elgner et al.: Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks. PLoS Computational Biology 8, e1002312, 2012.
[doi:10.1371/journal.pcbi.1002312]
F Droste, A Do and T Gross: Analytical investigation of self-organized criticality in neural networks. Journal of The Royal Society Interface 10, 20120558, 2013.
[doi:10.1098/?rsif.2012.0558]
J Hesse and T Gross: Self-organized criticality as a fundamental property of neural systems. Frontiers in Systems Neuroscience 8, 166, 2014.
[doi:10.3389/fnsys.2014.00166]
T Gross: Not one, but many critical states: A dynamical systems perspective. Frontiers in Neural Circuits 15, 614268—7, 2021.
[doi:10.3389/fncir.2021.614268]
C Huepe, G Zschaler, A Do et al.: Adaptive-network models of swarm dynamics. New Journal of Physics 13, 073022, 2011.
[doi:10.1088/1367-2630/13/7/073022]
L Chen, C Huepe and T Gross: Adaptive network models of collective decision making in swarming systems. Physical Review E 94, 022415, 2016.
[doi:10.1103/PhysRevE.94.022415]
ID Couzin, CC Ioannou, G Demirel et al.: Uninformed Individuals Promote Democratic Consensus in Animal Groups. Science 334, 1578—1580, 2011.
[doi:10.1126/science.1210280]
G Zschaler, A Traulsen and T Gross: A homoclinic route to asymptotic full cooperation in adaptive networks and its failure. New Journal of Physics 12, 093015, 2010.
[doi:10.1088/1367-2630/12/9/093015]
T Gross and H Sayama: Adaptive Networks: Theory, Models, and Applications (Springer, 2009)
\bibitem{gross2006epidemic} T Gross, CJ Dommar D{'}Lima and B Blasius: Epidemic Dynamics on an Adaptive Network. Physical Review Letters 96, 208701, 2006. [doi:10.1103/PhysRevLett.96.208701]
\bibitem{bornholdt2000topological} S Bornholdt and T Rohlf: Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics. Physical Review Letters 84, 6114--6117, 2000. [doi:10.1103/PhysRevLett.84.6114]
\bibitem{paczuski2000selforganized} M Paczuski, KE Bassler and A Corral: Self-Organized Networks of Competing Boolean Agents. Physical Review Letters 84, 3185--3188, 2000. [doi:10.1103/PhysRevLett.84.3185]
\bibitem{skyrms2000dynamic} B Skyrms and R Pemantle: A dynamic model of social network formation. Proceedings of the National Academy of Sciences 97, 9340--9346, 2000. [doi:10.1073/pnas.97.16.9340]
\bibitem{zimmermann2011cooperation} MG Zimmermann, VM Egu\'{i}luz, M San Miguel et al.: Cooperation in an Adaptive Network. Advances in Complex Systems 03, 283--297, 2011. [doi:10.1142/S0219525900000212]
\bibitem{scarpino2016effect} SV Scarpino, A Allard and L H\'{e}bert-Dufresne: The effect of a prudent adaptive behaviour on disease transmission. Nature Physics 12, 1042--1046, 2016. [doi:10.1038/nphys3832]
\bibitem{gross2007adaptive} T Gross and B Blasius: Adaptive coevolutionary networks: a review. Journal of The Royal Society Interface 5, 259--271, 2007. [doi:10.1098/rsif.2007.1229]
\bibitem{holme2006nonequilibrium} P Holme and MEJ Newman: Nonequilibrium phase transition in the coevolution of networks and opinions. Physical Review E 74, 056108, 2006. [doi:10.1103/PhysRevE.74.056108]
\bibitem{vazquez2008generic} F Vazquez, VM Egu\'{i}luz and MS Miguel: Generic Absorbing Transition in Coevolution Dynamics. Physical Review Letters 100, 108702, 2008. [doi:10.1103/PhysRevLett.100.108702]
\bibitem{bohme2011analytical} GA B\"{o}hme and T Gross: Analytical calculation of fragmentation transitions in adaptive networks. Physical Review E 83, 035101, 2011. [doi:10.1103/PhysRevE.83.035101]
\bibitem{silk2014exploring} H Silk, G Demirel, M Homer et al.: Exploring the adaptive voter model dynamics with a mathematical triple jump. New Journal of Physics 16, 093051, 2014. [doi:10.1088/1367-2630/16/9/093051]
\bibitem{demirel2017dynamics} G Demirel, E Barter and T Gross: Dynamics of epidemic diseases on a growing adaptive network. Scientific Reports 7, 42352, 2017. [doi:10.1038/srep42352]
\bibitem{do2010patterns} A Do, L Rudolf and T Gross: Patterns of cooperation: fairness and coordination in networks of interacting agents. New Journal of Physics 12, 063023, 2010. [doi:10.1088/1367-2630/12/6/063023]
\bibitem{do2012graphical} A Do, S Boccaletti and T Gross: Graphical notation reveals topological stability criteria for collective dynamics in complex networks. Physical Review Letters 108, 194102, 2012. [doi:10.1103/PhysRevLett.108.194102]
\bibitem{yang2016network} H Yang, T Rogers and T Gross: Network inoculation: Heteroclinics and phase transitions in an epidemic model. Chaos: An Interdisciplinary Journal of Nonlinear Science 26, 083116, 2016. [doi:10.1063/1.4961249]
\bibitem{meisel2009adaptive} C Meisel and T Gross: Adaptive self-organization in a realistic neural network model. Physical Review E 80, 061917, 2009. [doi:10.1103/PhysRevE.80.061917]
\bibitem{meisel2012failure} C Meisel, A Storch, S Hallmeyer-Elgner et al.: Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks. PLoS Computational Biology 8, e1002312, 2012. [doi:10.1371/journal.pcbi.1002312]
\bibitem{droste2013analytical} F Droste, A Do and T Gross: Analytical investigation of self-organized criticality in neural networks. Journal of The Royal Society Interface 10, 20120558, 2013. [doi:10.1098/?rsif.2012.0558]
\bibitem{hesse2014selforganized} J Hesse and T Gross: Self-organized criticality as a fundamental property of neural systems. Frontiers in Systems Neuroscience 8, 166, 2014. [doi:10.3389/fnsys.2014.00166]
\bibitem{gross2021not} T Gross: Not one, but many critical states: A dynamical systems perspective. Frontiers in Neural Circuits 15, 614268--7, 2021. [doi:10.3389/fncir.2021.614268]
\bibitem{huepe2011adaptivenetwork} C Huepe, G Zschaler, A Do et al.: Adaptive-network models of swarm dynamics. New Journal of Physics 13, 073022, 2011. [doi:10.1088/1367-2630/13/7/073022]
\bibitem{chen2016adaptive} L Chen, C Huepe and T Gross: Adaptive network models of collective decision making in swarming systems. Physical Review E 94, 022415, 2016. [doi:10.1103/PhysRevE.94.022415]
\bibitem{couzin2011uninformed} ID Couzin, CC Ioannou, G Demirel et al.: Uninformed Individuals Promote Democratic Consensus in Animal Groups. Science 334, 1578--1580, 2011. [doi:10.1126/science.1210280]
\bibitem{zschaler2010homoclinic} G Zschaler, A Traulsen and T Gross: A homoclinic route to asymptotic full cooperation in adaptive networks and its failure. New Journal of Physics 12, 093015, 2010. [doi:10.1088/1367-2630/12/9/093015]
\bibitem{gross2009adaptive} T Gross and H Sayama: Adaptive Networks: Theory, Models, and Applications (Springer, 2009)
American Physical Society
T Gross, CJ Dommar D’Lima and B Blasius, Physical Review Letters
96, 208701, (2006).
[doi:10.1103/PhysRevLett.96.208701]
S Bornholdt and T Rohlf, Physical Review Letters
84, 6114—6117, (2000).
[doi:10.1103/PhysRevLett.84.6114]
M Paczuski, KE Bassler and A Corral, Physical Review Letters
84, 3185—3188, (2000).
[doi:10.1103/PhysRevLett.84.3185]
B Skyrms and R Pemantle, Proceedings of the National Academy of Sciences
97, 9340—9346, (2000).
[doi:10.1073/pnas.97.16.9340]
MG Zimmermann, VM Eguíluz, M San Miguel et al., Advances in Complex Systems
03, 283—297, (2011).
[doi:10.1142/S0219525900000212]
SV Scarpino, A Allard and L Hébert-Dufresne, Nature Physics
12, 1042—1046, (2016).
[doi:10.1038/nphys3832]
T Gross and B Blasius, Journal of The Royal Society Interface
5, 259—271, (2007).
[doi:10.1098/rsif.2007.1229]
P Holme and MEJ Newman, Physical Review E
74, 056108, (2006).
[doi:10.1103/PhysRevE.74.056108]
F Vazquez, VM Eguíluz and MS Miguel, Physical Review Letters
100, 108702, (2008).
[doi:10.1103/PhysRevLett.100.108702]
GA Böhme and T Gross, Physical Review E
83, 035101, (2011).
[doi:10.1103/PhysRevE.83.035101]
H Silk, G Demirel, M Homer et al., New Journal of Physics
16, 093051, (2014).
[doi:10.1088/1367-2630/16/9/093051]
G Demirel, E Barter and T Gross, Scientific Reports
7, 42352, (2017).
[doi:10.1038/srep42352]
A Do, L Rudolf and T Gross, New Journal of Physics
12, 063023, (2010).
[doi:10.1088/1367-2630/12/6/063023]
A Do, S Boccaletti and T Gross, Physical Review Letters
108, 194102, (2012).
[doi:10.1103/PhysRevLett.108.194102]
H Yang, T Rogers and T Gross, Chaos: An Interdisciplinary Journal of Nonlinear Science
26, 083116, (2016).
[doi:10.1063/1.4961249]
C Meisel and T Gross, Physical Review E
80, 061917, (2009).
[doi:10.1103/PhysRevE.80.061917]
C Meisel, A Storch, S Hallmeyer-Elgner et al., PLoS Computational Biology
8, e1002312, (2012).
[doi:10.1371/journal.pcbi.1002312]
F Droste, A Do and T Gross, Journal of The Royal Society Interface
10, 20120558, (2013).
[doi:10.1098/?rsif.2012.0558]
J Hesse and T Gross, Frontiers in Systems Neuroscience
8, 166, (2014).
[doi:10.3389/fnsys.2014.00166]
T Gross, Frontiers in Neural Circuits
15, 614268—7, (2021).
[doi:10.3389/fncir.2021.614268]
C Huepe, G Zschaler, A Do et al., New Journal of Physics
13, 073022, (2011).
[doi:10.1088/1367-2630/13/7/073022]
L Chen, C Huepe and T Gross, Physical Review E
94, 022415, (2016).
[doi:10.1103/PhysRevE.94.022415]
ID Couzin, CC Ioannou, G Demirel et al., Science
334, 1578—1580, (2011).
[doi:10.1126/science.1210280]
G Zschaler, A Traulsen and T Gross, New Journal of Physics
12, 093015, (2010).
[doi:10.1088/1367-2630/12/9/093015]
T Gross and H Sayama: Adaptive Networks: Theory, Models, and Applications, Springer, New York (2009).
\bibitem{gross2006epidemic} T Gross, CJ Dommar D{'}Lima and B Blasius, Physical Review Letters \textbf{96}, 208701, (2006). [doi:10.1103/PhysRevLett.96.208701]
\bibitem{bornholdt2000topological} S Bornholdt and T Rohlf, Physical Review Letters \textbf{84}, 6114--6117, (2000). [doi:10.1103/PhysRevLett.84.6114]
\bibitem{paczuski2000selforganized} M Paczuski, KE Bassler and A Corral, Physical Review Letters \textbf{84}, 3185--3188, (2000). [doi:10.1103/PhysRevLett.84.3185]
\bibitem{skyrms2000dynamic} B Skyrms and R Pemantle, Proceedings of the National Academy of Sciences \textbf{97}, 9340--9346, (2000). [doi:10.1073/pnas.97.16.9340]
\bibitem{zimmermann2011cooperation} MG Zimmermann, VM Egu\'{i}luz, M San Miguel et al., Advances in Complex Systems \textbf{03}, 283--297, (2011). [doi:10.1142/S0219525900000212]
\bibitem{scarpino2016effect} SV Scarpino, A Allard and L H\'{e}bert-Dufresne, Nature Physics \textbf{12}, 1042--1046, (2016). [doi:10.1038/nphys3832]
\bibitem{gross2007adaptive} T Gross and B Blasius, Journal of The Royal Society Interface \textbf{5}, 259--271, (2007). [doi:10.1098/rsif.2007.1229]
\bibitem{holme2006nonequilibrium} P Holme and MEJ Newman, Physical Review E \textbf{74}, 056108, (2006). [doi:10.1103/PhysRevE.74.056108]
\bibitem{vazquez2008generic} F Vazquez, VM Egu\'{i}luz and MS Miguel, Physical Review Letters \textbf{100}, 108702, (2008). [doi:10.1103/PhysRevLett.100.108702]
\bibitem{bohme2011analytical} GA B\"{o}hme and T Gross, Physical Review E \textbf{83}, 035101, (2011). [doi:10.1103/PhysRevE.83.035101]
\bibitem{silk2014exploring} H Silk, G Demirel, M Homer et al., New Journal of Physics \textbf{16}, 093051, (2014). [doi:10.1088/1367-2630/16/9/093051]
\bibitem{demirel2017dynamics} G Demirel, E Barter and T Gross, Scientific Reports \textbf{7}, 42352, (2017). [doi:10.1038/srep42352]
\bibitem{do2010patterns} A Do, L Rudolf and T Gross, New Journal of Physics \textbf{12}, 063023, (2010). [doi:10.1088/1367-2630/12/6/063023]
\bibitem{do2012graphical} A Do, S Boccaletti and T Gross, Physical Review Letters \textbf{108}, 194102, (2012). [doi:10.1103/PhysRevLett.108.194102]
\bibitem{yang2016network} H Yang, T Rogers and T Gross, Chaos: An Interdisciplinary Journal of Nonlinear Science \textbf{26}, 083116, (2016). [doi:10.1063/1.4961249]
\bibitem{meisel2009adaptive} C Meisel and T Gross, Physical Review E \textbf{80}, 061917, (2009). [doi:10.1103/PhysRevE.80.061917]
\bibitem{meisel2012failure} C Meisel, A Storch, S Hallmeyer-Elgner et al., PLoS Computational Biology \textbf{8}, e1002312, (2012). [doi:10.1371/journal.pcbi.1002312]
\bibitem{droste2013analytical} F Droste, A Do and T Gross, Journal of The Royal Society Interface \textbf{10}, 20120558, (2013). [doi:10.1098/?rsif.2012.0558]
\bibitem{hesse2014selforganized} J Hesse and T Gross, Frontiers in Systems Neuroscience \textbf{8}, 166, (2014). [doi:10.3389/fnsys.2014.00166]
\bibitem{gross2021not} T Gross, Frontiers in Neural Circuits \textbf{15}, 614268--7, (2021). [doi:10.3389/fncir.2021.614268]
\bibitem{huepe2011adaptivenetwork} C Huepe, G Zschaler, A Do et al., New Journal of Physics \textbf{13}, 073022, (2011). [doi:10.1088/1367-2630/13/7/073022]
\bibitem{chen2016adaptive} L Chen, C Huepe and T Gross, Physical Review E \textbf{94}, 022415, (2016). [doi:10.1103/PhysRevE.94.022415]
\bibitem{couzin2011uninformed} ID Couzin, CC Ioannou, G Demirel et al., Science \textbf{334}, 1578--1580, (2011). [doi:10.1126/science.1210280]
\bibitem{zschaler2010homoclinic} G Zschaler, A Traulsen and T Gross, New Journal of Physics \textbf{12}, 093015, (2010). [doi:10.1088/1367-2630/12/9/093015]
\bibitem{gross2009adaptive} T Gross and H Sayama: Adaptive Networks: Theory, Models, and Applications, Springer, New York (2009).
Harvard
Gross, T., Dommar D’Lima, C. J. ., and Blasius, B. (2006) ‘Epidemic Dynamics on an Adaptive Network’.
Physical Review Letters, 96(20), 208701.
[doi:10.1103/PhysRevLett.96.208701]
Bornholdt, S., and Rohlf, T. (2000) ‘Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics’.
Physical Review Letters, 84(26), 6114—6117.
[doi:10.1103/PhysRevLett.84.6114]
Paczuski, M., Bassler, K. E., and Corral, A. (2000) ‘Self-Organized Networks of Competing Boolean Agents’.
Physical Review Letters, 84(14), 3185—3188.
[doi:10.1103/PhysRevLett.84.3185]
Skyrms, B., and Pemantle, R. (2000) ‘A dynamic model of social network formation’.
Proceedings of the National Academy of Sciences, 97(16), 9340—9346.
[doi:10.1073/pnas.97.16.9340]
Zimmermann, M. G., Eguíluz, V. M., San Miguel, M., and Spadaro, A. (2011) ‘Cooperation in an Adaptive Network’.
Advances in Complex Systems, 03(01n04), 283—297.
[doi:10.1142/S0219525900000212]
Scarpino, S. V., Allard, A., and Hébert-Dufresne, L. (2016) ‘The effect of a prudent adaptive behaviour on disease transmission’.
Nature Physics, 12(11), 1042—1046.
[doi:10.1038/nphys3832]
Gross, T., and Blasius, B. (2007) ‘Adaptive coevolutionary networks: a review’.
Journal of The Royal Society Interface, 5(20), 259—271.
[doi:10.1098/rsif.2007.1229]
Holme, P., and Newman, M. E. J. (2006) ‘Nonequilibrium phase transition in the coevolution of networks and opinions’.
Physical Review E, 74(5), 056108.
[doi:10.1103/PhysRevE.74.056108]
Vazquez, F., Eguíluz, V. M., and Miguel, M. S. (2008) ‘Generic Absorbing Transition in Coevolution Dynamics’.
Physical Review Letters, 100(10), 108702.
[doi:10.1103/PhysRevLett.100.108702]
Böhme, G. A., and Gross, T. (2011) ‘Analytical calculation of fragmentation transitions in adaptive networks’.
Physical Review E, 83(3), 035101.
[doi:10.1103/PhysRevE.83.035101]
Silk, H., Demirel, G., Homer, M., and Gross, T. (2014) ‘Exploring the adaptive voter model dynamics with a mathematical triple jump’.
New Journal of Physics, 16(9), 093051.
[doi:10.1088/1367-2630/16/9/093051]
Demirel, G., Barter, E., and Gross, T. (2017) ‘Dynamics of epidemic diseases on a growing adaptive network’.
Scientific Reports, 7(1), 42352.
[doi:10.1038/srep42352]
Do, A., Rudolf, L., and Gross, T. (2010) ‘Patterns of cooperation: fairness and coordination in networks of interacting agents’.
New Journal of Physics, 12(6), 063023.
[doi:10.1088/1367-2630/12/6/063023]
Do, A., Boccaletti, S., and Gross, T. (2012) ‘Graphical notation reveals topological stability criteria for collective dynamics in complex networks’.
Physical Review Letters, 108(19), 194102.
[doi:10.1103/PhysRevLett.108.194102]
Yang, H., Rogers, T., and Gross, T. (2016) ‘Network inoculation: Heteroclinics and phase transitions in an epidemic model’.
Chaos: An Interdisciplinary Journal of Nonlinear Science, 26(8), 083116.
[doi:10.1063/1.4961249]
Meisel, C., and Gross, T. (2009) ‘Adaptive self-organization in a realistic neural network model’.
Physical Review E, 80(6), 061917.
[doi:10.1103/PhysRevE.80.061917]
Meisel, C., Storch, A., Hallmeyer-Elgner, S., Bullmore, E., and Gross, T. (2012) ‘Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks’.
PLoS Computational Biology, 8(1), e1002312.
[doi:10.1371/journal.pcbi.1002312]
Droste, F., Do, A., and Gross, T. (2013) ‘Analytical investigation of self-organized criticality in neural networks’.
Journal of The Royal Society Interface, 10(78), 20120558.
[doi:10.1098/?rsif.2012.0558]
Hesse, J., and Gross, T. (2014) ‘Self-organized criticality as a fundamental property of neural systems’.
Frontiers in Systems Neuroscience, 8, 166.
[doi:10.3389/fnsys.2014.00166]
Gross, T. (2021) ‘Not one, but many critical states: A dynamical systems perspective’.
Frontiers in Neural Circuits, 15, 614268—7.
[doi:10.3389/fncir.2021.614268]
Huepe, C., Zschaler, G., Do, A., and Gross, T. (2011) ‘Adaptive-network models of swarm dynamics’.
New Journal of Physics, 13(7), 073022.
[doi:10.1088/1367-2630/13/7/073022]
Chen, L., Huepe, C., and Gross, T. (2016) ‘Adaptive network models of collective decision making in swarming systems’.
Physical Review E, 94(2), 022415.
[doi:10.1103/PhysRevE.94.022415]
Couzin, I. D., Ioannou, C. C., Demirel, G., Gross, T., Torney, C. J. et al. (2011) ‘Uninformed Individuals Promote Democratic Consensus in Animal Groups’.
Science, 334(6062), 1578—1580.
[doi:10.1126/science.1210280]
Zschaler, G., Traulsen, A., and Gross, T. (2010) ‘A homoclinic route to asymptotic full cooperation in adaptive networks and its failure’.
New Journal of Physics, 12(9), 093015.
[doi:10.1088/1367-2630/12/9/093015]
Gross, T., and Sayama, H. (2009)
Adaptive Networks: Theory, Models, and Applications. New York: Springer.
\bibitem{gross2006epidemic} Gross, T., Dommar D{'}Lima, C. J. ., and Blasius, B. (2006) ‘Epidemic Dynamics on an Adaptive Network'. \textit{Physical Review Letters}, 96(20), 208701. [doi:10.1103/PhysRevLett.96.208701]
\bibitem{bornholdt2000topological} Bornholdt, S., and Rohlf, T. (2000) ‘Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics'. \textit{Physical Review Letters}, 84(26), 6114--6117. [doi:10.1103/PhysRevLett.84.6114]
\bibitem{paczuski2000selforganized} Paczuski, M., Bassler, K. E., and Corral, A. (2000) ‘Self-Organized Networks of Competing Boolean Agents'. \textit{Physical Review Letters}, 84(14), 3185--3188. [doi:10.1103/PhysRevLett.84.3185]
\bibitem{skyrms2000dynamic} Skyrms, B., and Pemantle, R. (2000) ‘A dynamic model of social network formation'. \textit{Proceedings of the National Academy of Sciences}, 97(16), 9340--9346. [doi:10.1073/pnas.97.16.9340]
\bibitem{zimmermann2011cooperation} Zimmermann, M. G., Egu\'{i}luz, V. M., San Miguel, M., and Spadaro, A. (2011) ‘Cooperation in an Adaptive Network'. \textit{Advances in Complex Systems}, 03(01n04), 283--297. [doi:10.1142/S0219525900000212]
\bibitem{scarpino2016effect} Scarpino, S. V., Allard, A., and H\'{e}bert-Dufresne, L. (2016) ‘The effect of a prudent adaptive behaviour on disease transmission'. \textit{Nature Physics}, 12(11), 1042--1046. [doi:10.1038/nphys3832]
\bibitem{gross2007adaptive} Gross, T., and Blasius, B. (2007) ‘Adaptive coevolutionary networks: a review'. \textit{Journal of The Royal Society Interface}, 5(20), 259--271. [doi:10.1098/rsif.2007.1229]
\bibitem{holme2006nonequilibrium} Holme, P., and Newman, M. E. J. (2006) ‘Nonequilibrium phase transition in the coevolution of networks and opinions'. \textit{Physical Review E}, 74(5), 056108. [doi:10.1103/PhysRevE.74.056108]
\bibitem{vazquez2008generic} Vazquez, F., Egu\'{i}luz, V. M., and Miguel, M. S. (2008) ‘Generic Absorbing Transition in Coevolution Dynamics'. \textit{Physical Review Letters}, 100(10), 108702. [doi:10.1103/PhysRevLett.100.108702]
\bibitem{bohme2011analytical} B\"{o}hme, G. A., and Gross, T. (2011) ‘Analytical calculation of fragmentation transitions in adaptive networks'. \textit{Physical Review E}, 83(3), 035101. [doi:10.1103/PhysRevE.83.035101]
\bibitem{silk2014exploring} Silk, H., Demirel, G., Homer, M., and Gross, T. (2014) ‘Exploring the adaptive voter model dynamics with a mathematical triple jump'. \textit{New Journal of Physics}, 16(9), 093051. [doi:10.1088/1367-2630/16/9/093051]
\bibitem{demirel2017dynamics} Demirel, G., Barter, E., and Gross, T. (2017) ‘Dynamics of epidemic diseases on a growing adaptive network'. \textit{Scientific Reports}, 7(1), 42352. [doi:10.1038/srep42352]
\bibitem{do2010patterns} Do, A., Rudolf, L., and Gross, T. (2010) ‘Patterns of cooperation: fairness and coordination in networks of interacting agents'. \textit{New Journal of Physics}, 12(6), 063023. [doi:10.1088/1367-2630/12/6/063023]
\bibitem{do2012graphical} Do, A., Boccaletti, S., and Gross, T. (2012) ‘Graphical notation reveals topological stability criteria for collective dynamics in complex networks'. \textit{Physical Review Letters}, 108(19), 194102. [doi:10.1103/PhysRevLett.108.194102]
\bibitem{yang2016network} Yang, H., Rogers, T., and Gross, T. (2016) ‘Network inoculation: Heteroclinics and phase transitions in an epidemic model'. \textit{Chaos: An Interdisciplinary Journal of Nonlinear Science}, 26(8), 083116. [doi:10.1063/1.4961249]
\bibitem{meisel2009adaptive} Meisel, C., and Gross, T. (2009) ‘Adaptive self-organization in a realistic neural network model'. \textit{Physical Review E}, 80(6), 061917. [doi:10.1103/PhysRevE.80.061917]
\bibitem{meisel2012failure} Meisel, C., Storch, A., Hallmeyer-Elgner, S., Bullmore, E., and Gross, T. (2012) ‘Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks'. \textit{PLoS Computational Biology}, 8(1), e1002312. [doi:10.1371/journal.pcbi.1002312]
\bibitem{droste2013analytical} Droste, F., Do, A., and Gross, T. (2013) ‘Analytical investigation of self-organized criticality in neural networks'. \textit{Journal of The Royal Society Interface}, 10(78), 20120558. [doi:10.1098/?rsif.2012.0558]
\bibitem{hesse2014selforganized} Hesse, J., and Gross, T. (2014) ‘Self-organized criticality as a fundamental property of neural systems'. \textit{Frontiers in Systems Neuroscience}, 8, 166. [doi:10.3389/fnsys.2014.00166]
\bibitem{gross2021not} Gross, T. (2021) ‘Not one, but many critical states: A dynamical systems perspective'. \textit{Frontiers in Neural Circuits}, 15, 614268--7. [doi:10.3389/fncir.2021.614268]
\bibitem{huepe2011adaptivenetwork} Huepe, C., Zschaler, G., Do, A., and Gross, T. (2011) ‘Adaptive-network models of swarm dynamics'. \textit{New Journal of Physics}, 13(7), 073022. [doi:10.1088/1367-2630/13/7/073022]
\bibitem{chen2016adaptive} Chen, L., Huepe, C., and Gross, T. (2016) ‘Adaptive network models of collective decision making in swarming systems'. \textit{Physical Review E}, 94(2), 022415. [doi:10.1103/PhysRevE.94.022415]
\bibitem{couzin2011uninformed} Couzin, I. D., Ioannou, C. C., Demirel, G., Gross, T., Torney, C. J. et al. (2011) ‘Uninformed Individuals Promote Democratic Consensus in Animal Groups'. \textit{Science}, 334(6062), 1578--1580. [doi:10.1126/science.1210280]
\bibitem{zschaler2010homoclinic} Zschaler, G., Traulsen, A., and Gross, T. (2010) ‘A homoclinic route to asymptotic full cooperation in adaptive networks and its failure'. \textit{New Journal of Physics}, 12(9), 093015. [doi:10.1088/1367-2630/12/9/093015]
\bibitem{gross2009adaptive} Gross, T., and Sayama, H. (2009) \textit{Adaptive Networks: Theory, Models, and Applications}. New York: Springer.
Chicago
Gross, Thilo, Dommar D’Lima, Carlos J. , and Blasius, Bernd. “Epidemic Dynamics on an Adaptive Network.”
Physical Review Letters 96, no. 20 (2006) 208701.
[doi:10.1103/PhysRevLett.96.208701]
Bornholdt, Stefan, and Rohlf, Thimo. “Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics.”
Physical Review Letters 84, no. 26 (2000) 6114—6117.
[doi:10.1103/PhysRevLett.84.6114]
Paczuski, Maya, Bassler, Kevin E., and Corral, Alvaro. “Self-Organized Networks of Competing Boolean Agents.”
Physical Review Letters 84, no. 14 (2000) 3185—3188.
[doi:10.1103/PhysRevLett.84.3185]
Skyrms, B., and Pemantle, R.. “A dynamic model of social network formation.”
Proceedings of the National Academy of Sciences 97, no. 16 (2000) 9340—9346.
[doi:10.1073/pnas.97.16.9340]
Zimmermann, M. G., Eguíluz, V. M., San Miguel, M., and Spadaro, A.. “Cooperation in an Adaptive Network.”
Advances in Complex Systems 03, no. 01n04 (2011) 283—297.
[doi:10.1142/S0219525900000212]
Scarpino, Samuel V., Allard, Antoine, and Hébert-Dufresne, Laurent. “The effect of a prudent adaptive behaviour on disease transmission.”
Nature Physics 12, no. 11 (2016) 1042—1046.
[doi:10.1038/nphys3832]
Gross, Thilo, and Blasius, Bernd. “Adaptive coevolutionary networks: a review.”
Journal of The Royal Society Interface 5, no. 20 (2007) 259—271.
[doi:10.1098/rsif.2007.1229]
Holme, Petter, and Newman, M. E. J.. “Nonequilibrium phase transition in the coevolution of networks and opinions.”
Physical Review E 74, no. 5 (2006) 056108.
[doi:10.1103/PhysRevE.74.056108]
Vazquez, Federico, Eguíluz, Víctor M., and Miguel, Maxi San. “Generic Absorbing Transition in Coevolution Dynamics.”
Physical Review Letters 100, no. 10 (2008) 108702.
[doi:10.1103/PhysRevLett.100.108702]
Böhme, Gesa A., and Gross, Thilo. “Analytical calculation of fragmentation transitions in adaptive networks.”
Physical Review E 83, no. 3 (2011) 035101.
[doi:10.1103/PhysRevE.83.035101]
Silk, Holly, Demirel, Güven, Homer, Martin, and Gross, Thilo. “Exploring the adaptive voter model dynamics with a mathematical triple jump.”
New Journal of Physics 16, no. 9 (2014) 093051.
[doi:10.1088/1367-2630/16/9/093051]
Demirel, Güven, Barter, Edmund, and Gross, Thilo. “Dynamics of epidemic diseases on a growing adaptive network.”
Scientific Reports 7, no. 1 (2017) 42352.
[doi:10.1038/srep42352]
Do, Anne-Ly, Rudolf, Lars, and Gross, Thilo. “Patterns of cooperation: fairness and coordination in networks of interacting agents.”
New Journal of Physics 12, no. 6 (2010) 063023.
[doi:10.1088/1367-2630/12/6/063023]
Do, Anne-Ly, Boccaletti, Stefano, and Gross, Thilo. “Graphical notation reveals topological stability criteria for collective dynamics in complex networks.”
Physical Review Letters 108, no. 19 (2012) 194102.
[doi:10.1103/PhysRevLett.108.194102]
Yang, Hui, Rogers, Tim, and Gross, Thilo. “Network inoculation: Heteroclinics and phase transitions in an epidemic model.”
Chaos: An Interdisciplinary Journal of Nonlinear Science 26, no. 8 (2016) 083116.
[doi:10.1063/1.4961249]
Meisel, Christian, and Gross, Thilo. “Adaptive self-organization in a realistic neural network model.”
Physical Review E 80, no. 6 (2009) 061917.
[doi:10.1103/PhysRevE.80.061917]
Meisel, Christian, Storch, Alexander, Hallmeyer-Elgner, Susanne, Bullmore, Ed, and Gross, Thilo. “Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks.”
PLoS Computational Biology 8, no. 1 (2012) e1002312.
[doi:10.1371/journal.pcbi.1002312]
Droste, Felix, Do, Anne-Ly, and Gross, Thilo. “Analytical investigation of self-organized criticality in neural networks.”
Journal of The Royal Society Interface 10, no. 78 (2013) 20120558.
[doi:10.1098/?rsif.2012.0558]
Hesse, Janina, and Gross, Thilo. “Self-organized criticality as a fundamental property of neural systems.”
Frontiers in Systems Neuroscience 8 (2014) 166.
[doi:10.3389/fnsys.2014.00166]
Gross, Thilo. “Not one, but many critical states: A dynamical systems perspective.”
Frontiers in Neural Circuits 15 (2021) 614268—7.
[doi:10.3389/fncir.2021.614268]
Huepe, Cristián, Zschaler, Gerd, Do, Anne-Ly, and Gross, Thilo. “Adaptive-network models of swarm dynamics.”
New Journal of Physics 13, no. 7 (2011) 073022.
[doi:10.1088/1367-2630/13/7/073022]
Chen, Li, Huepe, Cristián, and Gross, Thilo. “Adaptive network models of collective decision making in swarming systems.”
Physical Review E 94, no. 2 (2016) 022415.
[doi:10.1103/PhysRevE.94.022415]
Couzin, Iain D., Ioannou, Christos. C., Demirel, Güven, Gross, Thilo, Torney, Colin J. et al. “Uninformed Individuals Promote Democratic Consensus in Animal Groups.”
Science 334, no. 6062 (2011) 1578—1580.
[doi:10.1126/science.1210280]
Zschaler, Gerd, Traulsen, Arne, and Gross, Thilo. “A homoclinic route to asymptotic full cooperation in adaptive networks and its failure.”
New Journal of Physics 12, no. 9 (2010) 093015.
[doi:10.1088/1367-2630/12/9/093015]
Gross, Thilo, and Sayama, Hiroki.
Adaptive Networks: Theory, Models, and Applications. New York: Springer, 2009.
\bibitem{gross2006epidemic} Gross, Thilo, Dommar D{'}Lima, Carlos J. , and Blasius, Bernd. ‘‘Epidemic Dynamics on an Adaptive Network.'' \textit{Physical Review Letters} 96, no.~20 (2006) 208701. [doi:10.1103/PhysRevLett.96.208701]
\bibitem{bornholdt2000topological} Bornholdt, Stefan, and Rohlf, Thimo. ‘‘Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics.'' \textit{Physical Review Letters} 84, no.~26 (2000) 6114--6117. [doi:10.1103/PhysRevLett.84.6114]
\bibitem{paczuski2000selforganized} Paczuski, Maya, Bassler, Kevin E., and Corral, Alvaro. ‘‘Self-Organized Networks of Competing Boolean Agents.'' \textit{Physical Review Letters} 84, no.~14 (2000) 3185--3188. [doi:10.1103/PhysRevLett.84.3185]
\bibitem{skyrms2000dynamic} Skyrms, B., and Pemantle, R.. ‘‘A dynamic model of social network formation.'' \textit{Proceedings of the National Academy of Sciences} 97, no.~16 (2000) 9340--9346. [doi:10.1073/pnas.97.16.9340]
\bibitem{zimmermann2011cooperation} Zimmermann, M. G., Egu\'{i}luz, V. M., San Miguel, M., and Spadaro, A.. ‘‘Cooperation in an Adaptive Network.'' \textit{Advances in Complex Systems} 03, no.~01n04 (2011) 283--297. [doi:10.1142/S0219525900000212]
\bibitem{scarpino2016effect} Scarpino, Samuel V., Allard, Antoine, and H\'{e}bert-Dufresne, Laurent. ‘‘The effect of a prudent adaptive behaviour on disease transmission.'' \textit{Nature Physics} 12, no.~11 (2016) 1042--1046. [doi:10.1038/nphys3832]
\bibitem{gross2007adaptive} Gross, Thilo, and Blasius, Bernd. ‘‘Adaptive coevolutionary networks: a review.'' \textit{Journal of The Royal Society Interface} 5, no.~20 (2007) 259--271. [doi:10.1098/rsif.2007.1229]
\bibitem{holme2006nonequilibrium} Holme, Petter, and Newman, M. E. J.. ‘‘Nonequilibrium phase transition in the coevolution of networks and opinions.'' \textit{Physical Review E} 74, no.~5 (2006) 056108. [doi:10.1103/PhysRevE.74.056108]
\bibitem{vazquez2008generic} Vazquez, Federico, Egu\'{i}luz, V\'{i}ctor M., and Miguel, Maxi San. ‘‘Generic Absorbing Transition in Coevolution Dynamics.'' \textit{Physical Review Letters} 100, no.~10 (2008) 108702. [doi:10.1103/PhysRevLett.100.108702]
\bibitem{bohme2011analytical} B\"{o}hme, Gesa A., and Gross, Thilo. ‘‘Analytical calculation of fragmentation transitions in adaptive networks.'' \textit{Physical Review E} 83, no.~3 (2011) 035101. [doi:10.1103/PhysRevE.83.035101]
\bibitem{silk2014exploring} Silk, Holly, Demirel, G\"{u}ven, Homer, Martin, and Gross, Thilo. ‘‘Exploring the adaptive voter model dynamics with a mathematical triple jump.'' \textit{New Journal of Physics} 16, no.~9 (2014) 093051. [doi:10.1088/1367-2630/16/9/093051]
\bibitem{demirel2017dynamics} Demirel, G\"{u}ven, Barter, Edmund, and Gross, Thilo. ‘‘Dynamics of epidemic diseases on a growing adaptive network.'' \textit{Scientific Reports} 7, no.~1 (2017) 42352. [doi:10.1038/srep42352]
\bibitem{do2010patterns} Do, Anne-Ly, Rudolf, Lars, and Gross, Thilo. ‘‘Patterns of cooperation: fairness and coordination in networks of interacting agents.'' \textit{New Journal of Physics} 12, no.~6 (2010) 063023. [doi:10.1088/1367-2630/12/6/063023]
\bibitem{do2012graphical} Do, Anne-Ly, Boccaletti, Stefano, and Gross, Thilo. ‘‘Graphical notation reveals topological stability criteria for collective dynamics in complex networks.'' \textit{Physical Review Letters} 108, no.~19 (2012) 194102. [doi:10.1103/PhysRevLett.108.194102]
\bibitem{yang2016network} Yang, Hui, Rogers, Tim, and Gross, Thilo. ‘‘Network inoculation: Heteroclinics and phase transitions in an epidemic model.'' \textit{Chaos: An Interdisciplinary Journal of Nonlinear Science} 26, no.~8 (2016) 083116. [doi:10.1063/1.4961249]
\bibitem{meisel2009adaptive} Meisel, Christian, and Gross, Thilo. ‘‘Adaptive self-organization in a realistic neural network model.'' \textit{Physical Review E} 80, no.~6 (2009) 061917. [doi:10.1103/PhysRevE.80.061917]
\bibitem{meisel2012failure} Meisel, Christian, Storch, Alexander, Hallmeyer-Elgner, Susanne, Bullmore, Ed, and Gross, Thilo. ‘‘Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks.'' \textit{PLoS Computational Biology} 8, no.~1 (2012) e1002312. [doi:10.1371/journal.pcbi.1002312]
\bibitem{droste2013analytical} Droste, Felix, Do, Anne-Ly, and Gross, Thilo. ‘‘Analytical investigation of self-organized criticality in neural networks.'' \textit{Journal of The Royal Society Interface} 10, no.~78 (2013) 20120558. [doi:10.1098/?rsif.2012.0558]
\bibitem{hesse2014selforganized} Hesse, Janina, and Gross, Thilo. ‘‘Self-organized criticality as a fundamental property of neural systems.'' \textit{Frontiers in Systems Neuroscience} 8 (2014) 166. [doi:10.3389/fnsys.2014.00166]
\bibitem{gross2021not} Gross, Thilo. ‘‘Not one, but many critical states: A dynamical systems perspective.'' \textit{Frontiers in Neural Circuits} 15 (2021) 614268--7. [doi:10.3389/fncir.2021.614268]
\bibitem{huepe2011adaptivenetwork} Huepe, Cristi\'{a}n, Zschaler, Gerd, Do, Anne-Ly, and Gross, Thilo. ‘‘Adaptive-network models of swarm dynamics.'' \textit{New Journal of Physics} 13, no.~7 (2011) 073022. [doi:10.1088/1367-2630/13/7/073022]
\bibitem{chen2016adaptive} Chen, Li, Huepe, Cristi\'{a}n, and Gross, Thilo. ‘‘Adaptive network models of collective decision making in swarming systems.'' \textit{Physical Review E} 94, no.~2 (2016) 022415. [doi:10.1103/PhysRevE.94.022415]
\bibitem{couzin2011uninformed} Couzin, Iain D., Ioannou, Christos. C., Demirel, G\"{u}ven, Gross, Thilo, Torney, Colin J. et al. ‘‘Uninformed Individuals Promote Democratic Consensus in Animal Groups.'' \textit{Science} 334, no.~6062 (2011) 1578--1580. [doi:10.1126/science.1210280]
\bibitem{zschaler2010homoclinic} Zschaler, Gerd, Traulsen, Arne, and Gross, Thilo. ‘‘A homoclinic route to asymptotic full cooperation in adaptive networks and its failure.'' \textit{New Journal of Physics} 12, no.~9 (2010) 093015. [doi:10.1088/1367-2630/12/9/093015]
\bibitem{gross2009adaptive} Gross, Thilo, and Sayama, Hiroki. \textit{Adaptive Networks: Theory, Models, and Applications}. New York: Springer, 2009.
BibTex
@article{gross2006epidemic,
title = {Epidemic Dynamics on an Adaptive Network},
year = {2006},
author = {Gross, Thilo and Dommar D{'}Lima, Carlos J. and Blasius, Bernd},
doi = {10.1103/PhysRevLett.96.208701},
number = {20},
journal = {Physical Review Letters},
volume = {96},
pages = {208701},
}
@article{bornholdt2000topological,
title = {Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics},
year = {2000},
author = {Bornholdt, Stefan and Rohlf, Thimo},
doi = {10.1103/PhysRevLett.84.6114},
number = {26},
journal = {Physical Review Letters},
volume = {84},
pages = {6114--6117},
}
@article{paczuski2000selforganized,
title = {Self-Organized Networks of Competing Boolean Agents},
year = {2000},
author = {Paczuski, Maya and Bassler, Kevin E. and Corral, Alvaro},
doi = {10.1103/PhysRevLett.84.3185},
number = {14},
journal = {Physical Review Letters},
volume = {84},
pages = {3185--3188},
}
@article{skyrms2000dynamic,
title = {A dynamic model of social network formation},
year = {2000},
author = {Skyrms, B. and Pemantle, R.},
doi = {10.1073/pnas.97.16.9340},
number = {16},
journal = {Proceedings of the National Academy of Sciences},
volume = {97},
pages = {9340--9346},
}
@article{zimmermann2011cooperation,
title = {Cooperation in an Adaptive Network},
year = {2011},
author = {Zimmermann, M. G. and Egu\'{i}luz, V. M. and San Miguel, M. and Spadaro, A.},
doi = {10.1142/S0219525900000212},
number = {01n04},
journal = {Advances in Complex Systems},
volume = {03},
pages = {283--297},
}
@article{scarpino2016effect,
title = {The effect of a prudent adaptive behaviour on disease transmission},
year = {2016},
author = {Scarpino, Samuel V. and Allard, Antoine and H\'{e}bert-Dufresne, Laurent},
doi = {10.1038/nphys3832},
number = {11},
journal = {Nature Physics},
volume = {12},
pages = {1042--1046},
}
@article{gross2007adaptive,
title = {Adaptive coevolutionary networks: a review},
year = {2007},
author = {Gross, Thilo and Blasius, Bernd},
doi = {10.1098/rsif.2007.1229},
number = {20},
journal = {Journal of The Royal Society Interface},
volume = {5},
pages = {259--271},
}
@article{holme2006nonequilibrium,
title = {Nonequilibrium phase transition in the coevolution of networks and opinions},
year = {2006},
author = {Holme, Petter and Newman, M. E. J.},
doi = {10.1103/PhysRevE.74.056108},
number = {5},
journal = {Physical Review E},
volume = {74},
pages = {056108},
}
@article{vazquez2008generic,
title = {Generic Absorbing Transition in Coevolution Dynamics},
year = {2008},
author = {Vazquez, Federico and Egu\'{i}luz, V\'{i}ctor M. and Miguel, Maxi San},
doi = {10.1103/PhysRevLett.100.108702},
number = {10},
journal = {Physical Review Letters},
volume = {100},
pages = {108702},
}
@article{bohme2011analytical,
title = {Analytical calculation of fragmentation transitions in adaptive networks},
year = {2011},
author = {B\"{o}hme, Gesa A. and Gross, Thilo},
doi = {10.1103/PhysRevE.83.035101},
number = {3},
journal = {Physical Review E},
volume = {83},
pages = {035101},
}
@article{silk2014exploring,
title = {Exploring the adaptive voter model dynamics with a mathematical triple jump},
year = {2014},
author = {Silk, Holly and Demirel, G\"{u}ven and Homer, Martin and Gross, Thilo},
doi = {10.1088/1367-2630/16/9/093051},
number = {9},
journal = {New Journal of Physics},
volume = {16},
pages = {093051},
}
@article{demirel2017dynamics,
title = {Dynamics of epidemic diseases on a growing adaptive network},
year = {2017},
author = {Demirel, G\"{u}ven and Barter, Edmund and Gross, Thilo},
doi = {10.1038/srep42352},
number = {1},
journal = {Scientific Reports},
volume = {7},
pages = {42352},
}
@article{do2010patterns,
title = {Patterns of cooperation: fairness and coordination in networks of interacting agents},
year = {2010},
author = {Do, Anne-Ly and Rudolf, Lars and Gross, Thilo},
doi = {10.1088/1367-2630/12/6/063023},
number = {6},
journal = {New Journal of Physics},
volume = {12},
pages = {063023},
}
@article{do2012graphical,
title = {Graphical notation reveals topological stability criteria for collective dynamics in complex networks},
year = {2012},
author = {Do, Anne-Ly and Boccaletti, Stefano and Gross, Thilo},
doi = {10.1103/PhysRevLett.108.194102},
number = {19},
journal = {Physical Review Letters},
volume = {108},
pages = {194102},
}
@article{yang2016network,
title = {Network inoculation: Heteroclinics and phase transitions in an epidemic model},
year = {2016},
author = {Yang, Hui and Rogers, Tim and Gross, Thilo},
doi = {10.1063/1.4961249},
number = {8},
journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
volume = {26},
pages = {083116},
}
@article{meisel2009adaptive,
title = {Adaptive self-organization in a realistic neural network model},
year = {2009},
author = {Meisel, Christian and Gross, Thilo},
doi = {10.1103/PhysRevE.80.061917},
number = {6},
journal = {Physical Review E},
volume = {80},
pages = {061917},
}
@article{meisel2012failure,
title = {Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks},
year = {2012},
author = {Meisel, Christian and Storch, Alexander and Hallmeyer-Elgner, Susanne and Bullmore, Ed and Gross, Thilo},
doi = {10.1371/journal.pcbi.1002312},
number = {1},
journal = {PLoS Computational Biology},
volume = {8},
pages = {e1002312},
}
@article{droste2013analytical,
title = {Analytical investigation of self-organized criticality in neural networks},
year = {2013},
author = {Droste, Felix and Do, Anne-Ly and Gross, Thilo},
doi = {10.1098/?rsif.2012.0558},
number = {78},
journal = {Journal of The Royal Society Interface},
volume = {10},
pages = {20120558},
}
@article{hesse2014selforganized,
title = {Self-organized criticality as a fundamental property of neural systems},
year = {2014},
author = {Hesse, Janina and Gross, Thilo},
doi = {10.3389/fnsys.2014.00166},
journal = {Frontiers in Systems Neuroscience},
volume = {8},
pages = {166},
}
@article{gross2021not,
title = {Not one, but many critical states: A dynamical systems perspective},
year = {2021},
author = {Gross, Thilo},
doi = {10.3389/fncir.2021.614268},
journal = {Frontiers in Neural Circuits},
volume = {15},
pages = {614268--7},
}
@article{huepe2011adaptivenetwork,
title = {Adaptive-network models of swarm dynamics},
year = {2011},
author = {Huepe, Cristi\'{a}n and Zschaler, Gerd and Do, Anne-Ly and Gross, Thilo},
doi = {10.1088/1367-2630/13/7/073022},
number = {7},
journal = {New Journal of Physics},
volume = {13},
pages = {073022},
}
@article{chen2016adaptive,
title = {Adaptive network models of collective decision making in swarming systems},
year = {2016},
author = {Chen, Li and Huepe, Cristi\'{a}n and Gross, Thilo},
doi = {10.1103/PhysRevE.94.022415},
number = {2},
journal = {Physical Review E},
volume = {94},
pages = {022415},
}
@article{couzin2011uninformed,
title = {Uninformed Individuals Promote Democratic Consensus in Animal Groups},
year = {2011},
author = {Couzin, Iain D. and Ioannou, Christos. C. and Demirel, G\"{u}ven and Gross, Thilo and Torney, Colin J. and Hartnett, Andrew and Conradt, Lalrissa and Levin, Simon A. and Leonard, Naomi E.},
doi = {10.1126/science.1210280},
number = {6062},
journal = {Science},
volume = {334},
pages = {1578--1580},
}
@article{zschaler2010homoclinic,
title = {A homoclinic route to asymptotic full cooperation in adaptive networks and its failure},
year = {2010},
author = {Zschaler, Gerd and Traulsen, Arne and Gross, Thilo},
doi = {10.1088/1367-2630/12/9/093015},
number = {9},
journal = {New Journal of Physics},
volume = {12},
pages = {093015},
}
@book{gross2009adaptive,
title = {Adaptive Networks: Theory, Models, and Applications},
year = {2009},
author = {Gross, Thilo and Sayama, Hiroki},
publisher = {Springer},
address = {New York},
}
RIS
TY - JOUR
DA - 2006
AV - q-bio/0512037
A1 - Gross, Thilo
A2 - Dommar D’Lima, Carlos J.
A3 - Blasius, Bernd
DO - 10.1103/PhysRevLett.96.208701
IS - 20
J1 - Physical Review Letters
SP - 208701
TI - Epidemic Dynamics on an Adaptive Network
VO - 96
ER -
TY - JOUR
DA - 2000
AV - cond-mat/0003215
A1 - Bornholdt, Stefan
A2 - Rohlf, Thimo
DO - 10.1103/PhysRevLett.84.6114
EP - 6117
IS - 26
J1 - Physical Review Letters
SP - 6114
TI - Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
VO - 84
ER -
TY - JOUR
DA - 2000
A1 - Paczuski, Maya
A2 - Bassler, Kevin E.
A3 - Corral, Alvaro
DO - 10.1103/PhysRevLett.84.3185
EP - 3188
IS - 14
J1 - Physical Review Letters
SP - 3185
TI - Self-Organized Networks of Competing Boolean Agents
VO - 84
ER -
TY - JOUR
DA - 2000
AV - math/0404101
A1 - Skyrms, B.
A2 - Pemantle, R.
DO - 10.1073/pnas.97.16.9340
EP - 9346
IS - 16
J1 - Proceedings of the National Academy of Sciences
SP - 9340
TI - A dynamic model of social network formation
VO - 97
ER -
TY - JOUR
DA - 2011
A1 - Zimmermann, M. G.
A2 - Eguíluz, V. M.
A3 - San Miguel, M.
A4 - Spadaro, A.
DO - 10.1142/S0219525900000212
EP - 297
IS - 01n04
J1 - Advances in Complex Systems
SP - 283
TI - Cooperation in an Adaptive Network
VO - 03
ER -
TY - JOUR
DA - 2016
A1 - Scarpino, Samuel V.
A2 - Allard, Antoine
A3 - Hébert-Dufresne, Laurent
DO - 10.1038/nphys3832
EP - 1046
IS - 11
J1 - Nature Physics
SP - 1042
TI - The effect of a prudent adaptive behaviour on disease transmission
VO - 12
ER -
TY - JOUR
DA - 2007
AV - 0709.1858
A1 - Gross, Thilo
A2 - Blasius, Bernd
DO - 10.1098/rsif.2007.1229
EP - 271
IS - 20
J1 - Journal of The Royal Society Interface
SP - 259
TI - Adaptive coevolutionary networks: a review
VO - 5
ER -
TY - JOUR
DA - 2006
A1 - Holme, Petter
A2 - Newman, M. E. J.
DO - 10.1103/PhysRevE.74.056108
IS - 5
J1 - Physical Review E
SP - 056108
TI - Nonequilibrium phase transition in the coevolution of networks and opinions
VO - 74
ER -
TY - JOUR
DA - 2008
A1 - Vazquez, Federico
A2 - Eguíluz, Víctor M.
A3 - Miguel, Maxi San
DO - 10.1103/PhysRevLett.100.108702
IS - 10
J1 - Physical Review Letters
SP - 108702
TI - Generic Absorbing Transition in Coevolution Dynamics
VO - 100
ER -
TY - JOUR
DA - 2011
AV - 1012.1213
A1 - Böhme, Gesa A.
A2 - Gross, Thilo
DO - 10.1103/PhysRevE.83.035101
IS - 3
J1 - Physical Review E
SP - 035101
TI - Analytical calculation of fragmentation transitions in adaptive networks
VO - 83
ER -
TY - JOUR
DA - 2014
AV - 1302.2743
A1 - Silk, Holly
A2 - Demirel, Güven
A3 - Homer, Martin
A4 - Gross, Thilo
DO - 10.1088/1367-2630/16/9/093051
IS - 9
J1 - New Journal of Physics
SP - 093051
TI - Exploring the adaptive voter model dynamics with a mathematical triple jump
VO - 16
ER -
TY - JOUR
DA - 2017
AV - 1209.2541
A1 - Demirel, Güven
A2 - Barter, Edmund
A3 - Gross, Thilo
DO - 10.1038/srep42352
IS - 1
J1 - Scientific Reports
SP - 42352
TI - Dynamics of epidemic diseases on a growing adaptive network
VO - 7
ER -
TY - JOUR
DA - 2010
AV - 0902.2954
A1 - Do, Anne-Ly
A2 - Rudolf, Lars
A3 - Gross, Thilo
DO - 10.1088/1367-2630/12/6/063023
IS - 6
J1 - New Journal of Physics
SP - 063023
TI - Patterns of cooperation: fairness and coordination in networks of interacting agents
VO - 12
ER -
TY - JOUR
DA - 2012
AV - 1012.0722
A1 - Do, Anne-Ly
A2 - Boccaletti, Stefano
A3 - Gross, Thilo
DO - 10.1103/PhysRevLett.108.194102
IS - 19
J1 - Physical Review Letters
SP - 194102
TI - Graphical notation reveals topological stability criteria for collective dynamics in complex networks
VO - 108
ER -
TY - JOUR
DA - 2016
AV - 1604.02630
A1 - Yang, Hui
A2 - Rogers, Tim
A3 - Gross, Thilo
DO - 10.1063/1.4961249
IS - 8
J1 - Chaos: An Interdisciplinary Journal of Nonlinear Science
SP - 083116
TI - Network inoculation: Heteroclinics and phase transitions in an epidemic model
VO - 26
ER -
TY - JOUR
DA - 2009
AV - 0903.2987
A1 - Meisel, Christian
A2 - Gross, Thilo
DO - 10.1103/PhysRevE.80.061917
IS - 6
J1 - Physical Review E
SP - 061917
TI - Adaptive self-organization in a realistic neural network model
VO - 80
ER -
TY - JOUR
DA - 2012
AV - 1105.4786
A1 - Meisel, Christian
A2 - Storch, Alexander
A3 - Hallmeyer-Elgner, Susanne
A4 - Bullmore, Ed
AU - Gross, Thilo
DO - 10.1371/journal.pcbi.1002312
IS - 1
J1 - PLoS Computational Biology
SP - e1002312
TI - Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks
VO - 8
ER -
TY - JOUR
DA - 2013
AV - 1203.4942
A1 - Droste, Felix
A2 - Do, Anne-Ly
A3 - Gross, Thilo
DO - 10.1098/?rsif.2012.0558
IS - 78
J1 - Journal of The Royal Society Interface
SP - 20120558
TI - Analytical investigation of self-organized criticality in neural networks
VO - 10
ER -
TY - JOUR
DA - 2014
A1 - Hesse, Janina
A2 - Gross, Thilo
DO - 10.3389/fnsys.2014.00166
J1 - Frontiers in Systems Neuroscience
SP - 166
TI - Self-organized criticality as a fundamental property of neural systems
VO - 8
ER -
TY - JOUR
DA - 2021
A1 - Gross, Thilo
DO - 10.3389/fncir.2021.614268
EP - 7
J1 - Frontiers in Neural Circuits
SP - 614268
TI - Not one, but many critical states: A dynamical systems perspective
VO - 15
ER -
TY - JOUR
DA - 2011
AV - 1009.2349
A1 - Huepe, Cristián
A2 - Zschaler, Gerd
A3 - Do, Anne-Ly
A4 - Gross, Thilo
DO - 10.1088/1367-2630/13/7/073022
IS - 7
J1 - New Journal of Physics
SP - 073022
TI - Adaptive-network models of swarm dynamics
VO - 13
ER -
TY - JOUR
DA - 2016
AV - 1507.08100
A1 - Chen, Li
A2 - Huepe, Cristián
A3 - Gross, Thilo
DO - 10.1103/PhysRevE.94.022415
IS - 2
J1 - Physical Review E
SP - 022415
TI - Adaptive network models of collective decision making in swarming systems
VO - 94
ER -
TY - JOUR
DA - 2011
A1 - Couzin, Iain D.
A2 - Ioannou, Christos. C.
A3 - Demirel, Güven
A4 - Gross, Thilo
AU - Torney, Colin J.
AU - Hartnett, Andrew
AU - Conradt, Lalrissa
AU - Levin, Simon A.
AU - Leonard, Naomi E.
DO - 10.1126/science.1210280
EP - 1580
IS - 6062
J1 - Science
SP - 1578
TI - Uninformed Individuals Promote Democratic Consensus in Animal Groups
VO - 334
ER -
TY - JOUR
DA - 2010
AV - 0910.0940
A1 - Zschaler, Gerd
A2 - Traulsen, Arne
A3 - Gross, Thilo
DO - 10.1088/1367-2630/12/9/093015
IS - 9
J1 - New Journal of Physics
SP - 093015
TI - A homoclinic route to asymptotic full cooperation in adaptive networks and its failure
VO - 12
ER -
TY - BOOK
DA - 2009
A1 - Gross, Thilo
A2 - Sayama, Hiroki
PB - Springer
CY - New York
TI - Adaptive Networks: Theory, Models, and Applications
ER -