Synchronization and non-smooth dynamical systems
In this article we establish an interaction between nonsmooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. Moreover its regularization provide a singular perturbation problem with attracting...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150525 |
| Acceso en línea: | https://ddd.uab.cat/record/150525 https://dx.doi.org/urn:doi:10.1007/s10884-012-9239-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Regularization Vector field Constrained system Singular perturbation Non-smooth vector field Sliding vector field Synchronization |
| Sumario: | In this article we establish an interaction between nonsmooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. Moreover its regularization provide a singular perturbation problem with attracting critical manifold. We also state a result about the synchronization which occurs in the regularization of the fold-fold case. We restrict ourselves to the 3-dimensional systems (' = 3) and consider the case known as a T-singularity. |
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