On the Hopf bifurcation in a coupled nonlinear map
β Scribed by A. Roy Chowdhury; K. Chowdhury
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 276 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0960-0779
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## Abstract A simple generalization of the Hopf Bifurcation Theorem for scalar higher order ordinary differential equations is suggested. We study the degenerate case where several roots of the characteristic polynomial cross the imaginary axis at the same point for some value __Ξ»__~0~ of the param
The paper studies existence, uniqueness, and stability of large-amplitude periodic cycles arising in Hopf bifurcation at infinity of autonomous control systems with bounded nonlinear feedback. We consider systems with functional nonlinearities of Landesman Lazer type and a class of systems with hyst