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Bifurcation delay in a delay differential equation

✍ Scribed by R. Miyazaki; K. Tchizawa

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
117 KB
Volume
63
Category
Article
ISSN
0362-546X

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✦ Synopsis

Consider the Dynamic Hopf Bifurcation in delay differential equations

where bu(t) is a time delayed feedback control term, b represents the accessible elements, k (k T means a transpose of k) is the control amplitude and is a delayed time. In fact, we will show that a delay in the bifurcation can be expected as same as the case without a time delayed feedback control term.

πŸ“œ SIMILAR VOLUMES

Neimark–Sacker bifurcation for periodic
Neimark–Sacker bifurcation for periodic delay differential equations
✍ Gergely RΓΆst πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 256 KB

In this paper we study the delay differential equation where is a real parameter, the functions a(t), f (t, ) are C 4 -smooth and periodic in the variable t with period 1. Varying the parameter, eigenvalues of the monodromy operator (the derivative of the time-one map at the equilibrium 0) cross th