Aggregation of monitoring datasets for functional diversity estimation
P Carrasco, J Antonucci, J Massing et al.
to appear in Front. Eco. Evo.
Dissimilarity analysis based on diffusion maps
J Gault, J Freund, H Hillebrand et al.
Oikos 2023, e10249-10, 2023
Adaptive dynamical networks
R Berner, T Gross, C Kuehn et al.
Physics Reports 1031, 1-59, 2023
Quantification of metabolic niche occupancy dynamics in a Baltic Sea bacterial community
JC Massing, AK Fahimipour, C Bunse et al.
mSystems 8, 28-23, 2023
Critical Drift in a Neuro-Inspired Adaptive Network
S Sormunen, T Gross and J Saramäki
Phys. Rev. Lett. 130, 188401, 2023
Trait reconstruction and estimation of functional diversity from ecolocical monitoring data
A Ryabov, B Blasius, H Hillebrand et al.
PNAS 119, e2118156119, 2022
Governing Change: A Dynamical Systems Approach to Understanding the Stability of Environmental Governance
N Molla, J DeIonno, T Gross et al.
Earth Sys. Dyn. 13, 1677-1688, 2022
Sharp thresholds limit the benefit of defector avoidance in cooperation on networks
AK Fahimipour, F Zeng, M Homer et al.
PNAS 119, e2120120119, 2022
Network Robustness Revisited
T Gross and L Barth
Frontiers in Physics 10, 823564-16, 2022
Master stability functions for metacommunities with two types of habitats
A Krauß, T Gross and B Drossel
Phys. Rev. E 105, 044310, 2022
Generalized Structural Kinetic Modeling: A Survey and Guide
JC Massing and T Gross
Front. Mol. Biosci. 9, 825052-19, 2022
Toward a Solution of the “Peruvian Puzzle”: Pelagic Food-Web Structure and Trophic Interactions in the Northern Humboldt Current Upwelling System Off Peru
JC Massing, A Schukat, H Auel et al.
to appear in Front. Mar. Sci.
The Knowledge Status of Coastal and Marine Ecosystem Services - Challenges, Limitations and Lessons Learned From the Application of the Ecosystem Services Approach in Management
PM Carrasco De La Cruz
Front. Mar. Sci. 8, 519, 2021
A closed form for Jacobian reconstruction from time series and its application as an early warning signal in network dynamics
E Barter, A Brechtel, B Drossel et al.
Proc. R. Soc. A. 477, 20200742, 2021
Not one, but many critical states: A dynamical systems perspective
T Gross
Front. Neural Circuits 15, 614268-7, 2021
Revealing environmentally driven population dynamics of an Arctic diatom using a novel microsatellite PoolSeq barcoding approach
KKE Wolf, CJM Hoppe, F Leese et al.
Environ Microbiol 23, 3809-3824, 2021
Modern models of trophic meta-communities
T Gross, KT Allhoff, B Blasius et al.
Phil. Trans. R. Soc. B 375, 20190455, 2020
Wireless localization with diffusion maps
A Ghafourian, O Georgiou, E Barter et al.
Sci Rep 10, 20655, 2020
Mapping the bacterial metabolic niche space
AK Fahimipour and T Gross
Nature Commun. 11, 4887, 2020
Diverse interactions and ecosystem engineering can stabilize community assembly
JD Yeakel, MM Pires, MAM de Aguiar et al.
Nature Commun. 11, 3307, 2020
Far-ranging generalist top predators enhance the stability of meta-foodwebs
A Brechtel, T Gross and B Drossel
Sci Rep 9, 12268, 2019
Identifying dynamical instabilities in supply networks using generalized modeling
G Demirel, BL MacCarthy, D Ritterskamp et al.
J Oper Manag 65, 136-159, 2019
Quantitative analysis of approaches to group marking
H Harvey, J Keen, C Robinson et al.
Assessment & Evaluation in Higher Education 44, 1133-1147, 2019
Manifold cities: social variables of urban areas in the UK
E Barter and T Gross
Proc. R. Soc. A. 475, 20180615, 2019
Impact of cyber-invasive species on a large ecological network
A Doizy, E Barter, J Memmott et al.
Sci Rep 8, 13245, 2018
Introduction to dynamics of manufacturing supply networks
T Gross, BL MacCarthy and N Wildgoose
Chaos 28, 093111, 2018
Revealing instabilities in a generalized triadic supply network: A bifurcation analysis
D Ritterskamp, G Demirel, BL MacCarthy et al.
Chaos 28, 073103, 2018
Master stability functions reveal diffusion-driven pattern formation in networks
A Brechtel, P Gramlich, D Ritterskamp et al.
Phys. Rev. E 97, 032307, 2018
Eco-evolutionary dynamics, density-dependent dispersal and collective behaviour: implications for salmon metapopulation robustness
JD Yeakel, JP Gibert, T Gross et al.
Phil. Trans. R. Soc. B 373, 20170018, 2018
Spatial effects in meta-foodwebs
E Barter and T Gross
Sci Rep 7, 9980, 2017
Dynamics of epidemic diseases on a growing adaptive network
G Demirel, E Barter and T Gross
Sci Rep 7, 42352, 2017
Topological stability criteria for networking dynamical systems with Hermitian Jacobian
AL Do, S Boccaletti, J Epperlein et al.
Eur. J. Appl. Math 27, 888-903, 2016
Adaptive network models of collective decision making in swarming systems
L Chen, C Huepe and T Gross
Phys. Rev. E 94, 022415, 2016
Network inoculation: Heteroclinics and phase transitions in an epidemic model
H Yang, T Rogers and T Gross
Chaos 26, 083116, 2016
Design of Self-Organizing Networks: Creating Specified Degree Distributions
H Silk, M Homer and T Gross
IEEE Trans. Netw. Sci. Eng. 3, 147-158, 2016
The influence of dispersal on a predator–prey system with two habitats
P Gramlich, SJ Plitzko, L Rudolf et al.
Journal of Theoretical Biology 398, 150-161, 2016
Temporal and structural heterogeneities emerging in adaptive temporal networks
T Aoki, LEC Rocha and T Gross
Phys. Rev. E 93, 040301, 2016
Impact of dispersal on the stability of metapopulations
E Tromeur, L Rudolf and T Gross
Journal of Theoretical Biology 392, 1-11, 2016
Meta-food-chains as a many-layer epidemic process on networks
E Barter and T Gross
Phys. Rev. E 93, 022303, 2016
Early warning signs for saddle-escape transitions in complex networks
C Kuehn, G Zschaler and T Gross
Sci Rep 5, 13190, 2015
Large epidemic thresholds emerge in heterogeneous networks of heterogeneous nodes
H Yang, M Tang and T Gross
Sci Rep 5, 13122, 2015
Fusion leads to effective segregation of damage during cell division: An analytical treatment
SJ Lade, M Coelho, IM Tolić et al.
Journal of Theoretical Biology 378, 47-55, 2015
A general consumer-resource population model
KD Lafferty, G DeLeo, CJ Briggs et al.
Science 349, 854-857, 2015
Mesoscopic structures and the Laplacian spectra of random geometric graphs
A Nyberg, T Gross and KE Bassler
J. Comp. Networks 3, 543-551, 2015
Exploring the adaptive voter model dynamics with a mathematical triple jump
H Silk, G Demirel, M Homer et al.
New J. Phys. 16, 093051, 2014
Collapse of an ecological network in Ancient Egypt
JD Yeakel, MM Pires, L Rudolf et al.
PNAS 111, 14472-14477, 2014
Self-organized criticality as a fundamental property of neural systems
J Hesse and T Gross
Front. Syst. Neurosci. 8, 166, 2014
Fusion of protein aggregates facilitates asymmetric damage segregation
M Coelho, SJ Lade, S Alberti et al.
PLoS Biol 12, e1001886, 2014
Moment-closure approximations for discrete adaptive networks
G Demirel, F Vazquez, GA Böhme et al.
Physica D: Nonlinear Phenomena 267, 68-80, 2014
How to predict community responses to perturbations in the face of imperfect knowledge and network complexity
H Aufderheide, L Rudolf, T Gross et al.
Proc. R. Soc. B. 280, 20132355, 2013
Emergence and persistence of diversity in complex networks
GA Böhme
Eur. Phys. J. Spec. Top. 222, 3089-3169, 2013
Meso-scale obstructions to stability of 1D center manifolds for networks of coupled differential equations with symmetric Jacobian
J Epperlein, A Do, T Gross et al.
Physica D: Nonlinear Phenomena 261, 1-7, 2013
Shared rewarding overcomes defection traps in generalized volunteer's dilemmas
X Chen, T Gross and U Dieckmann
Journal of Theoretical Biology 335, 13-21, 2013
Fission Yeast Does Not Age under Favorable Conditions, but Does So after Stress
M Coelho, A Dereli, A Haese et al.
Current Biology 23, 1844-1852, 2013
Amplitude death in networks of delay-coupled delay oscillators
JM Höfener, GC Sethia and T Gross
Phil. Trans. R. Soc. A. 371, 20120462, 2013
Consensus time and conformity in the adaptive voter model
T Rogers and T Gross
Phys. Rev. E 88, 030102, 2013
Modeling complex systems with adaptive networks
H Sayama, I Pestov, J Schmidt et al.
Computers & Mathematics with Applications 65, 1645-1664, 2013
Analytical investigation of self-organized criticality in neural networks
F Droste, A Do and T Gross
J. R. Soc. Interface. 10, 20120558, 2013
Nonlocal generalized models of predator-prey systems
C Kuehn and T Gross
Discrete & Continuous Dynamical Systems - B 18, 693-720, 2013
A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications
C Kuehn
J Nonlinear Sci 23, 457-510, 2012
Engineering mesoscale structures with distinct dynamical implications
A Do, J Höfener and T Gross
New J. Phys. 14, 115022, 2012
Largenet2: an object-oriented programming library for simulating large adaptive networks
G Zschaler and T Gross
Bioinformatics 29, 277-278, 2012
Mesoscale symmetries explain dynamical equivalence of food webs
H Aufderheide, L Rudolf and T Gross
New J. Phys. 14, 105014, 2012
Adaptive-network models of collective dynamics
G Zschaler
Eur. Phys. J. Spec. Top. 211, 1-101, 2012
Fragmentation transitions in multistate voter models
GA Böhme and T Gross
Phys. Rev. E 85, 066117, 2012
Hunting French ducks in a noisy environment
N Berglund, B Gentz and C Kuehn
Journal of Differential Equations 252, 4786-4841, 2012
Graphical notation reveals topological stability criteria for collective dynamics in complex networks
A Do, S Boccaletti and T Gross
Phys. Rev. Lett. 108, 194102, 2012
Dynamical analysis of evolution equations in generalized models
C Kuehn, S Siegmund and T Gross
IMA Journal of Applied Mathematics 78, 1051-1077, 2012
Early fragmentation in the adaptive voter model on directed networks
G Zschaler, GA Böhme, M Seißinger et al.
Phys. Rev. E 85, 046107, 2012
Coordination, Differentiation and Fairness in a Population of Cooperating Agents
A Do, L Rudolf and T Gross
Games 3, 30-40, 2012
Early Warning Signals for Critical Transitions: A Generalized Modeling Approach
SJ Lade and T Gross
PLoS Comput Biol 8, e1002360, 2012
Constructing and sampling directed graphs with given degree sequences
H Kim, CI Del Genio, KE Bassler et al.
New J. Phys. 14, 023012, 2012
Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks
C Meisel, A Storch, S Hallmeyer-Elgner et al.
PLoS Comput Biol 8, e1002312, 2012
Uninformed Individuals Promote Democratic Consensus in Animal Groups
ID Couzin, CC Ioannou, G Demirel et al.
Science 334, 1578-1580, 2011
Computation and visualization of bifurcation surfaces
D Stiefs, T Gross, R Steuer et al.
Int. J. Bifurcation Chaos 18, 2191-2206, 2011
All scale-free networks are sparse
CI Del Genio, T Gross and KE Bassler
Phys. Rev. Lett. 107, 178701, 2011
Emergent bipartiteness in a society of knights and knaves
CI Del Genio and T Gross
New J. Phys. 13, 103038, 2011
On decomposing mixed-mode oscillations and their return maps
C Kuehn
Chaos 21, 033107, 2011
Adaptive-network models of swarm dynamics
C Huepe, G Zschaler, A Do et al.
New J. Phys. 13, 073022, 2011
Stability of networks of delay-coupled delay oscillators
JM Höfener, GC Sethia and T Gross
EPL 95, 40002, 2011
General analysis of mathematical models for bone remodeling
M Zumsande, D Stiefs, S Siegmund et al.
Bone 48, 910-917, 2011
Cyclic dominance in adaptive networks
G Demirel, R Prizak, PN Reddy et al.
Eur. Phys. J. B 84, 541-548, 2011
Analytical calculation of fragmentation transitions in adaptive networks
GA Böhme and T Gross
Phys. Rev. E 83, 035101, 2011
Generalized modeling of ecological population dynamics
JD Yeakel, D Stiefs, M Novak et al.
Theor Ecol 4, 179-194, 2011
Consequences of fluctuating group size for the evolution of cooperation
A Brännström, T Gross, B Blasius et al.
J. Math. Biol. 63, 263-281, 2010
Food Quality in Producer‐Grazer Models: A Generalized Analysis
D Stiefs, G van Voorn, B Kooi et al.
The American Naturalist 176, 367-380, 2010
A homoclinic route to asymptotic full cooperation in adaptive networks and its failure
G Zschaler, A Traulsen and T Gross
New J. Phys. 12, 093015, 2010
Bifurcations and chaos in the MAPK signaling cascade
M Zumsande and T Gross
Journal of Theoretical Biology 265, 481-491, 2010
Patterns of cooperation: fairness and coordination in networks of interacting agents
A Do, L Rudolf and T Gross
New J. Phys. 12, 063023, 2010
Dynamical phase coexistence: A simple solution to the “savanna problem”
F Vazquez, C López, JM Calabrese et al.
Journal of Theoretical Biology 264, 360-366, 2010
Recurrence networks—a novel paradigm for nonlinear time series analysis
RV Donner, Y Zou, JF Donges et al.
New J. Phys. 12, 033025, 2010
Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer
AB Ryabov, L Rudolf and B Blasius
Journal of Theoretical Biology 263, 120-133, 2010
Ambiguities in recurrence-based complex network representations of time series
RV Donner, Y Zou, JF Donges et al.
Phys. Rev. E 81, 015101, 2010
Weighted trade network in a model of preferential bipartite transactions
A Chakraborty and SS Manna
Phys. Rev. E 81, 016111, 2010
Adaptive self-organization in a realistic neural network model
C Meisel and T Gross
Phys. Rev. E 80, 061917, 2009
Branching process in a stochastic extremal model
SS Manna
Phys. Rev. E 80, 021132, 2009
Generalized Models Reveal Stabilizing Factors in Food Webs
T Gross, L Rudolf, SA Levin et al.
Science 325, 747-750, 2009
The invisible niche: Weakly density-dependent mortality and the coexistence of species
T Gross, AM Edwards and U Feudel
Journal of Theoretical Biology 258, 148-155, 2009
Evidence of chaos in eco-epidemic models
D Stiefs, E Venturino and U Feudel
Mathematical Biosciences and Engineering 6, 855-871, 2009
Local dynamical equivalence of certain food webs
T Gross and U Feudel
Ocean Dynamics 59, 417-427, 2008
Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure
T Gross and IG Kevrekidis
Europhys. Lett. 82, 38004, 2008
Stabilization due to predator interference: comparison of different analysis approaches
GAK van Voorn, D Stiefs, T Gross et al.
Mathematical Biosciences and Engineering 5, 567-583, 2008
Adaptive coevolutionary networks: a review
T Gross and B Blasius
J. R. Soc. Interface. 5, 259-271, 2007
Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations
M Baurmann, T Gross and U Feudel
Journal of Theoretical Biology 245, 220-229, 2007
From structure to dynamics of metabolic pathways: application to the plant mitochondrial TCA cycle
R Steuer, AN Nesi, AR Fernie et al.
Bioinformatics 23, 1378-1385, 2007
Seasonal Forcing Drives Spatio-TemporalPattern Formation in Rabies Epidemics
N von Festenberg, T Gross and B Blasius
Mat. Mod. Nat. Phen. 2, 63-73, 2007
Structural kinetic modeling of metabolic networks
R Steuer, T Gross, J Selbig et al.
PNAS 103, 11868-11873, 2006
Epidemic Dynamics on an Adaptive Network
T Gross, CJ Dommar D’Lima and B Blasius
Phys. Rev. Lett. 96, 208701, 2006
Generalized models as a universal approach to the analysis of nonlinear dynamical systems
T Gross and U Feudel
Phys. Rev. E 73, 016205, 2006
Long food chains are in general chaotic
T Gross, W Ebenhöh and U Feudel
Oikos 109, 135-144, 2005
Analytical search for bifurcation surfaces in parameter space
T Gross and U Feudel
Physica D: Nonlinear Phenomena 195, 292-302, 2004
Enrichment and foodchain stability: the impact of different forms of predator–prey interaction
T Gross, W Ebenhöh and U Feudel
Journal of Theoretical Biology 227, 349-358, 2004