On the Uniqueness of Limit Cycles in a Generalized Liénard System
- Autores: Daoxiang Zhang, Ping Yan
- Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 1191-1199
- Idioma: inglés
- DOI: 10.1007/s12346-019-00332-w
- Enlaces
-
Resumen
Kooij and Sun (J Math Anal Appl 208:260–276, 1997) proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Liénard system dx/dt=h(y)-F(x),dy/dt=-g(x). We will give a counterexample to their theorem. Moreover, we shall give some sufficient conditions for the existence, uniqueness and hyperbolicity of limit cycles.
¿Es nuevo? Regístrese
Ventajas de registrarse
