Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field
In this paper, we study the global dynamics of continuous piecewise quadratic Hamiltonian systems separated by the straight line x = 0, where these kinds of systems have a nilpotent center at (0, 0), which comes from the combination of two cusps of both Hamiltonian systems. By the Poincaré compactif...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:267147 |
| Acceso en línea: | https://ddd.uab.cat/record/267147 https://dx.doi.org/urn:doi:10.1142/S0218127422501164 |
| Access Level: | acceso abierto |
| Palabra clave: | Nilpotent Center Hamiltonian Phase portrait Piecewise smooth system |
| Sumario: | In this paper, we study the global dynamics of continuous piecewise quadratic Hamiltonian systems separated by the straight line x = 0, where these kinds of systems have a nilpotent center at (0, 0), which comes from the combination of two cusps of both Hamiltonian systems. By the Poincaré compactification we classify the global phase portraits of these systems. We must mention that it is extremely rare to find works studying the center-focus problem in piecewise smooth systems with nonelementary singular points as we did here. |
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