On the Darboux integrability of the Hindmarsh-Rose burster
We study the HindmarshRose burster which can be described by the differential system x?=y?x3+bx2+I?z,y?=1?5x2?y,z?=?(s(x?x0)?z), where b, I, ?, s, x0 are parameters. We characterize all its invariant algebraic surfaces and all its exponential factors for all values of the parameters. We also charac...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199325 |
| Acceso en línea: | https://ddd.uab.cat/record/199325 https://dx.doi.org/urn:doi:10.1007/s10114-017-5661-1 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial integrability Rational integrability Darboux polynomials Darboux first integrals Invariant algebraic surfaces Exponential factors Hindmarsh-Rose burster |
| Sumario: | We study the HindmarshRose burster which can be described by the differential system x?=y?x3+bx2+I?z,y?=1?5x2?y,z?=?(s(x?x0)?z), where b, I, ?, s, x0 are parameters. We characterize all its invariant algebraic surfaces and all its exponential factors for all values of the parameters. We also characterize its Darboux integrability in function of the parameters. These characterizations allow to study the global dynamics of the system when such invariant algebraic surfaces exist. |
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