Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients. As a consequence, the bifurcation diagrams, illustrating the...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/198256 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.jmaa.2019.123692 http://hdl.handle.net/11449/198256 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcation Fold-fold singularity Hamiltonian vector field Limit cycle Piecewise smooth vector field |
| Sumario: | We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov coefficients. As a consequence, the bifurcation diagrams, illustrating the number, types and positions of the bifurcating small amplitude crossing limit cycles for these vector fields, are determined. |
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