Dresden 2011 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 20: Networks: From Topology to Dynamics IV (with BP, DY)
SOE 20.7: Talk
Thursday, March 17, 2011, 16:45–17:00, GÖR 226
Stability and Resonance in Networks of Delay-Coupled Delay Oscillators — •Johannes Höfener1, Gautam Sethia1,2, and Thilo Gross1 — 1Biological Physics Section, Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, Dresden 01187, Germany — 2Institute for Plasma Research, Bhat, Gandhinagar 382 428, India
Dynamical networks with time-delays (delay networks) have many applications in diverse range of fields from physics and biology. Their analysis is challenging, because even a single delay differential equation constitutes an infinite-dimensional dynamical system. In this talk we describe a method to efficiently analyse the stability of delay networks and investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of these networks 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.