On the birth of limit cycles for non-smooth dynamical systems
The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145361 |
| Acceso en línea: | https://ddd.uab.cat/record/145361 https://dx.doi.org/urn:doi:10.1016/j.bulsci.2014.08.011 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Discontinuous differential system Periodic solutions |
| Sumario: | The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall result are presented to ensure the existence of limit cycles of such systems. These result may represent new insights in averaging, in particular its relation with non smooth dynamical systems theory. An application is presented in careful detail. |
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