Uniqueness of Limit Cycles in a Liénard-Type System
In this paper, conditions that guarantee the uniqueness of limit cycles in the Liénard-type system, dx/dt=h(y)−F(x), dy/dt=−g(x), have been discussed. The conditions obtained here are different from those of Zhang and others. Several examples such as ẍ+ψ(ẋ)+q(x)φ(ẋ)=0 are given to illustrate that ou...
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| Veröffentlicht in: | Journal of mathematical analysis and applications 1994-06, Vol.184 (2), p.348-359 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, conditions that guarantee the uniqueness of limit cycles in the Liénard-type system, dx/dt=h(y)−F(x), dy/dt=−g(x), have been discussed. The conditions obtained here are different from those of Zhang and others. Several examples such as ẍ+ψ(ẋ)+q(x)φ(ẋ)=0 are given to illustrate that our results may easily be employed in practical applications. |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1006/jmaa.1994.1205 |