On a new type of bifurcation of limit cycles for a planar cubic system
✍ Scribed by J. Chavarriga; H. Giacomini; J. Giné
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 145 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Our researches are concerned with a class of planar general equivariant system of nine degrees. By making two appropriate transformations of system and calculating focal values carefully, we obtain the conditions that the infinity and three elementary focuses 2 ) become four general centers at the
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