| Issue |
EPL
Volume 95, Number 4, August 2011
|
|
|---|---|---|
| Article Number | 40002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/95/40002 | |
| Published online | 27 July 2011 | |
Stability of networks of delay-coupled delay oscillators
1
Biological Physics Section, Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Straß e 38, Dresden 01187, Germany, EU
2
Institute for Plasma Research - Bhat, Gandhinagar 382 428, India
Received:
18
March
2011
Accepted:
29
June
2011
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.-k – Complex systems / 89.75.Hc – Networks and genealogical trees
© EPLA, 2011
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