Abelian integrals and bifurcation theory

Jack Carr, Shui N. Chow, Jack K. Hale

Research output: Contribution to journalArticle

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. © 1985.

Original languageEnglish
Pages (from-to)413-436
Number of pages24
JournalJournal of Differential Equations
Volume59
Issue number3
Publication statusPublished - 30 Sep 1985

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Abelian Integrals
Bifurcation Theory
Equilibrium Point
Limit Cycle
Codimension
Vector Field
Uniqueness
Bifurcation

Cite this

Carr, J., Chow, S. N., & Hale, J. K. (1985). Abelian integrals and bifurcation theory. Journal of Differential Equations, 59(3), 413-436.
Carr, Jack ; Chow, Shui N. ; Hale, Jack K. / Abelian integrals and bifurcation theory. In: Journal of Differential Equations. 1985 ; Vol. 59, No. 3. pp. 413-436.
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Carr, J, Chow, SN & Hale, JK 1985, 'Abelian integrals and bifurcation theory', Journal of Differential Equations, vol. 59, no. 3, pp. 413-436.

Abelian integrals and bifurcation theory. / Carr, Jack; Chow, Shui N.; Hale, Jack K.

In: Journal of Differential Equations, Vol. 59, No. 3, 30.09.1985, p. 413-436.

Research output: Contribution to journalArticle

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Carr J, Chow SN, Hale JK. Abelian integrals and bifurcation theory. Journal of Differential Equations. 1985 Sep 30;59(3):413-436.