Limit cycles of a class of generalized Liénard polynomial equations
We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^2n-1, where p, q, and n are positive integers; is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x.
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:145358 |
| Acesso em linha: | https://ddd.uab.cat/record/145358 https://dx.doi.org/urn:doi:10.1007/s10883-014-9253-4 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Averaging theory Liénard system Limit cycles Polynomial differential systems |
| Resumo: | We prove that the generalized Liénard polynomial differential system x'=y^2p-1, y'=-x^2q-1 - f(x) y^2n-1, where p, q, and n are positive integers; is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x. |
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