Zero-Hopf bifurcation in a hyperchaotic Lorenz system
We characterize the zero-Hopf bifurcation at the singular points of a parameter co-dimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.
| 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:150706 |
| Acceso en línea: | https://ddd.uab.cat/record/150706 https://dx.doi.org/urn:doi:10.1007/s11071-013-1085-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Hyperchaotic Lorenz system Zero-Hopf bifurcation Periodic orbits Averaging theory |
| Sumario: | We characterize the zero-Hopf bifurcation at the singular points of a parameter co-dimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits. |
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