Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator
In this paper, some aspects on the periodic solutions of the extended Duffing-Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended Duffing-Van der Pol oscillator, we show that it can bifurcate one or three periodic...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221043 |
| Acceso en línea: | https://ddd.uab.cat/record/221043 https://dx.doi.org/urn:doi:10.1080/00207160.2015.1046847 |
| Access Level: | acceso abierto |
| Palabra clave: | Extended Duffing-Van der Pol oscillator Periodic solution Non-autonomous systems Averaging theory |
| Sumario: | In this paper, some aspects on the periodic solutions of the extended Duffing-Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended Duffing-Van der Pol oscillator, we show that it can bifurcate one or three periodic solutions from a two-dimensional manifold filled by periodic solutions of the referred system. For each rescaling we exhibit concrete values for which these bounds are reached. Beyond that we characterize the stability of some periodic solutions. Our approach is analytical and the results are obtained using the averaging theory and some algebraic techniques. |
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