On the Liénard system which has no periodic solutions
Published online by Cambridge University Press: 24 October 2008
Extract
The problem of periodicity of solutions of the generalized Liénard equation
has attracted much attention. Many efforts have been made to give sufficient conditions to guarantee the existence and the uniqueness of periodic solutions (limit cycles) of (1·1). There are also some papers on the number of limit cycles of (1·1) (see, for example, [3, 5, 6, 13]). However, there are only a few results on non-existence of periodic solutions of (1·1).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 413 - 422
- Copyright
- Copyright © Cambridge Philosophical Society 1993
References
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