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.
arXiv:1010.3557

Abstract

Figure

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.

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