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arXiv · 1010.3557

Stability of networks of delay-coupled delay oscillators

Johannes M. Höfener·Gautam C. Sethia·Thilo Gross
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Abstract

Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, 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 then a pattern of tongues is revealed. Exploiting a link between structure and dynamics, we identify conditions under which perturbations of the topology have a strong impact on the stability. If these critical regions are avoided the local stability of large random networks can be well approximated analytically.

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Johannes M. Höfener, Gautam C. Sethia, Thilo Gross. 2011-11-10. Stability of networks of delay-coupled delay oscillators. https://doi.org/10.1209/0295-5075%2F95%2F40002

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