This article is cited in 1 paper

Deterministic Systems

On bifurcation of large-amplitude stable cycles for equations with hysteresis

D. I. Rachinskii

Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: Consideration was given to the autonomous control systems with complex nonlinear hysteresis feedback (the Ishlinskii model with an infinite-dimensional state space). Conditions were proposed for existence of large-amplitude autooscillations appearing from infinity at the Andronov–Hopf bifurcation when the parameters of the linear unit are modified.

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 07.08.2004

 English version: Automation and Remote Control, 2004, 65:12, 1915–1937

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