Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 175, Issue 1, Pages 1-26Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jdeq.2000.3916
Keywords
control system; Hopf bifurcation; periodic cycle; orbital stability; monotone operator; concave and convex operators; hysteresis nonlinearity
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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.
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