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On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity. (English) Zbl 0984.34029
Summary: The authors study existence, uniqueness, and stability of large-amplitude periodic cycles arising in Hopf bifurcation at infinity of autonomous control systems with bounded nonlinear feedback. They 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.

34C23 Bifurcation theory for ordinary differential equations
34C55 Hysteresis for ordinary differential equations
34K18 Bifurcation theory of functional-differential equations
Full Text: DOI
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