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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2010 Issue 11, Pages 55–68 (Mi at1100)

This article is cited in 2 papers

Deterministic Systems

A degenerate case of Andronov–Hopf bifurcation at infinity

A. M. Krasnosel'skii

Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia

Abstract: New conditions are suggested for the origin of the Andronov–Hopf bifurcation at infinity in quasilinear control systems, i.e., the conditions of origin of the cycles as large as desired at parameter values that are close to the critical value.

Presented by the member of Editorial Board: A. L. Fradkov

Received: 30.03.2010


 English version:
Automation and Remote Control, 2010, 71:11, 2307–2319

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