BioND — Dynamics of Biological Networks

Stability in networks of delay-coupled delay oscillators

Johannes M. Hoefener, Gautam Sethia, and Thilo Gross
Europhysics Letters 95, 40002, 2011.



We extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of the network is plotted as a function of the two delays a pattern of tongues is revealed. Exploiting a link between structure
and dynamics, we show that in ensembles of large networks this pattern can be well approximated analytically.