N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in Rn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. Moreover, we pr...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:232168 |
| Acceso en línea: | https://ddd.uab.cat/record/232168 https://dx.doi.org/urn:doi:10.1007/s10883-020-09501-6 |
| Access Level: | acceso abierto |
| Palabra clave: | Hopf bifurcation Averaging theory Cubic polynomial differential systems |
| Sumario: | Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in Rn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. Moreover, we provide an example in dimension 6 showing that this number of limit cycles is reached. |
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