On the periodic orbit bifurcating from a Hopf bifurcation in systems with two slow and one fast variables
The Hopf bifurcation in slow-fast systems with two slow variables and one fast variable has been studied recently, mainly from a numerical point of view. Our goal is to provide an analytic proof of the existence of the zero Hopf bifurcation exhibited for such systems, and to characterize the stabili...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150743 |
| Acceso en línea: | https://ddd.uab.cat/record/150743 https://dx.doi.org/urn:doi:10.1016/j.amc.2013.12.184 |
| Access Level: | acceso abierto |
| Palabra clave: | Zero Hopf bifurcation Averaging theory Singular perturbation |
| Sumario: | The Hopf bifurcation in slow-fast systems with two slow variables and one fast variable has been studied recently, mainly from a numerical point of view. Our goal is to provide an analytic proof of the existence of the zero Hopf bifurcation exhibited for such systems, and to characterize the stability or instability of the periodic orbit which borns in such zero Hopf bifurcation. Our proofs use the averaging theory. |
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