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Quadratic systems with a degenerate critical point

Published online by Cambridge University Press:  17 April 2009

W. A. Coppel
W. A. Coppel
Affiliation:
Department of Mathematics, I.A.S.Australian National UniversityG.P.O. Box 4, Canberra, A.C.T. 2601Australia
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Abstract

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It is shown that a quadratic system with a degenerate critical point has at most one limit cycle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 1 , August 1988 , pp. 1 - 10
Copyright
Copyright © Australian Mathematical Society 1988

References

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[3]Coppel, W.A., ‘Some quadratic systems with at most one limit cycle’, Dynamics Reported (to appear).Google Scholar
[4]Zhifen, Zhang (Chan Chi-fen), ‘On the uniqueness of limit cycles of certain equations of nonlinear oscillations’, Dokl. Akad. Nauk SSSR 119 (1958), 659–662. [Russian]Google Scholar
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