The flow curvature method applied to canard explosion
The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van d...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2011 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:150408 |
| Acesso em linha: | https://ddd.uab.cat/record/150408 https://dx.doi.org/urn:doi:10.1088/1751-8113/44/46/465203 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Geometric Singular Perturbation Method Flow Curvature Method Singularly perturbed dynamical systems Canard solutions |
| Resumo: | The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator. |
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