Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria
We use averaging theory for studying the Hopf and zero--Hopf bifurcations in some chaotic differential systems. These differential systems have a chaotic attractor and no equilibria. Numerically we show the relation between the existence of the periodic solutions studied in these systems and their c...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199370 |
| Acceso en línea: | https://ddd.uab.cat/record/199370 https://dx.doi.org/urn:doi:10.1016/j.matcom.2018.03.008 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Periodic solutions Quadratic polynomial differential system Zero-Hopf bifurcation |
| Sumario: | We use averaging theory for studying the Hopf and zero--Hopf bifurcations in some chaotic differential systems. These differential systems have a chaotic attractor and no equilibria. Numerically we show the relation between the existence of the periodic solutions studied in these systems and their chaotic attractors. |
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