Zero-Hopf bifurcation in the generalized Michelson system
We provide sufficient conditions for the existence of two periodic solutions bifurcating from a zero-Hopf equilibrium for the differential system x ̇ =y, y ̇ =z, z ̇ =a by cz-x^2/2, where a, b and c are real arbitrary parameters. The regular perturbation of this differential system provides the norm...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169445 |
| Acesso em linha: | https://ddd.uab.cat/record/169445 https://dx.doi.org/urn:doi:10.1016/j.chaos.2015.11.013 |
| Access Level: | acceso abierto |
| Palavra-chave: | Averaging theory Michelson system Periodic solution Triple-zero bifurcation Zero-Hopf bifurcation |
| Resumo: | We provide sufficient conditions for the existence of two periodic solutions bifurcating from a zero-Hopf equilibrium for the differential system x ̇ =y, y ̇ =z, z ̇ =a by cz-x^2/2, where a, b and c are real arbitrary parameters. The regular perturbation of this differential system provides the normal form of the so-called triple-zero bifurcation. |
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