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Journal of Differential Equations
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Journal of Differential Equations
Article . 1985
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Abelian integrals and bifurcation theory

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1985 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 59, pages 413-436 (issn: 0022-0396, Copyright policy )
Authors: Shui-Nee Chow; Jack K. Hale; Jack Carr;

doi: 10.1016/0022-0396(85)90148-2

Abelian integrals and bifurcation theory

Abstract

Conditions are given for uniqueness of limit cycles for autonomous equations in the plane. The results are applicable to codimension two bifurcations near equilibrium points for vector fields.

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Keywords

autonomous equations, uniqueness of limit cycles, Periodic solutions to ordinary differential equations, bifurcations, Analysis

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citations
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!
57
Top 10%
Top 1%
Top 10%
hybrid