On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:175

Article

Diamond, P ; Kuznetsov, N ; Rachinskii, D

关键词: control system;    Hopf bifurcation;    periodic cycle;    orbital stability;    monotone operator;    concave and convex operators;    hysteresis nonlinearity;   

DOI  :  10.1006/jdeq.2000.3916

来源: Elsevier

【 摘 要 】

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 hysteresis nonlinearities. The method is based on the technique of parameter functionalization and methods of monotone concave and convex operators. (C) 2001 Academic Press.

【 授权许可】

Free