Algebraic limit cycles in piecewise linear differential systems
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. We al...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199362 |
| Acesso em linha: | https://ddd.uab.cat/record/199362 https://dx.doi.org/urn:doi:10.1142/S0218127418500396 |
| Access Level: | acceso abierto |
| Palavra-chave: | Algebraic limit cycles Hyperbolic and double limit cycle Non-smooth differential system Piecewise linear systems Saddle-node bifurcation |
| Resumo: | This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some 1-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed. |
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