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Delay-induced stability: From oscillators to networks
Fatihcan M. AtayAbstract
We consider the stability of oscillatory systems near a supercritical Hopf bifurcation under the presence of time delays. We give a brief outline of averaging theory for functional differential equations and apply it to the stability of delayed-feedback systems as well as networks with connection delays. In the latter case, the effect of the network topology as well as the phenomena of total and partial amplitude death are addressed. Results are presented for both continuous and discrete time systems.
- Received:
- 11.05.10
- Published:
- 18.05.10
Related publications
Delay-induced stability : from oscillators to networks
In: Complex time-delay systems : theory and applications / Fatihcan M. Atay (ed.)Berlin [u. a.] : Springer, 2010. - pp. 45-62