A degenerate case of Andronov-Hopf bifurcation at infinity

Authors:
A. M. Krasnosel'Skii
Affiliations:
Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2010

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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.