Stability of a ring of coupled van der Pol oscillators with non-uniformdistribution of the coupling parameter
The stability of a ring of coupled van der Pol oscillators is studied in this work considering a non-uniform distribution of the coupling parameteralong the ring. The stability analysis is based on the transformation of the linearized equation of the ring into a canonical Hill equation. A stabilityc...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | México |
| Institución: | UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO |
| Repositorio: | Journal of Applied Research and Technology |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs2.localhost:article/58 |
| Acceso en línea: | https://jart.icat.unam.mx/index.php/jart/article/view/58 |
| Access Level: | acceso abierto |
| Palabra clave: | Coupled oscillators Coupling parameter Hill equation Stability condition van der Pol oscillator |
| Sumario: | The stability of a ring of coupled van der Pol oscillators is studied in this work considering a non-uniform distribution of the coupling parameteralong the ring. The stability analysis is based on the transformation of the linearized equation of the ring into a canonical Hill equation. A stabilitycondition is derived considering the stability of the non-periodic term of the Hill equation. Stable and unstable dynamic behavior of the ring isstudied by means of numerical simulations. |
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