Hopf bifurcations in resonance 2:1

In this paper Hopf bifurcations for equations of control theory are studied in strong resonance case 2:1. The harmonic linearization approach and topological methods allow to give the sharp analysis of the problem for the case of quadratic principal nonlinearity.

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Bibliographic Details
Published inNonlinear analysis Vol. 52; no. 3; pp. 943 - 960
Main Authors Krasnosel'skii, A.M., Rachinskii, D.I., Schneider, K.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2003
Subjects
Control theory
Degree theory
Hopf bifurcation
Strong resonance
Strong resonance
Control theory
Hopf bifurcation
Degree theory
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Summary:In this paper Hopf bifurcations for equations of control theory are studied in strong resonance case 2:1. The harmonic linearization approach and topological methods allow to give the sharp analysis of the problem for the case of quadratic principal nonlinearity.
ISSN:0362-546X
1873-5215
DOI:10.1016/S0362-546X(02)00144-X