Double zero-Hopf bifurcation in a four-dimensional hyperchaotic system
The subject of this paper concerns with the bifurcation of limit cycles for a four-dimensional hyperchaotic system. This hyperchaotic system depends on five parameters and we restrict our study to the set of parameters where a double zero-Hopf bifurcation may occurs, that is, where an isolated equil...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:325992 |
| Acceso en línea: | https://ddd.uab.cat/record/325992 https://dx.doi.org/urn:doi:10.1007/s40590-025-00819-4 |
| Access Level: | acceso embargado |
| Palabra clave: | Hyperchaotic system Periodic orbit Limit cycle Hopf bifurcation Averaging equation |
| Sumario: | The subject of this paper concerns with the bifurcation of limit cycles for a four-dimensional hyperchaotic system. This hyperchaotic system depends on five parameters and we restrict our study to the set of parameters where a double zero-Hopf bifurcation may occurs, that is, where an isolated equilibrium point has a double zero and a pair of purely imaginary eigenvalues. For doing this study, some adequate changes of parameters and coordinates must be done in order that the computations become easier. The main result is based on the averaging theory. |
|---|