Uniqueness of limit cycles for a class of Lienard systems with applications
✍ Scribed by B. Coll; A. Gasull; J. Llibre
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 444 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Lienard system Ž . Ž . Ž . dxrdt s h y y F x , dyrdt s yg x . We will give a counterexample to their Ž . theorem. It will be shown that their theorem is valid only if F x is monotone on certain intervals. For this ca
We know five different families of algebraic limit cycles in quadratic systems, one of degree 2 and four of degree 4. Moreover, if there are other families of algebraic limit cycles for quadratic systems, then their degrees must be larger than 4. It is known that if a quadratic system has an algebra