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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Differential Equatio...arrow_drop_down
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Differential Equations
Article . 2001 . Peer-reviewed
License: Springer Nature TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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On the Andronov–Hopf Bifurcation Theorem

On the Andronov-Hopf bifurcation theorem
descriptionPublicationkeyboard_double_arrow_right Article 01 May 2001 English Publisher:Springer Science and Business Media LLCJournal:Differential Equations, volume 37, pages 640-646 (issn: 0012-2661, eissn: 1608-3083, Copyright policy )
Authors: Izamilov, A. F.;

doi: 10.1023/a:1019260414080

On the Andronov–Hopf Bifurcation Theorem

Abstract

Based on the introduced notion of a 2-regular nonlinear mapping at a singular point, the author suggests a new proof of the known Andronov-Hopf bifurcation theorem.

Related Organizations
Keywords

Bifurcation theory for ordinary differential equations, Bifurcations of limit cycles and periodic orbits in dynamical systems, Andronov-Hopf bifurcation theorem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
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