Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations x = y + sgn(gm (x, y))F (x), y = -x, where the zero set of the function sgn(gm (x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the o...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145367 |
| Acceso en línea: | https://ddd.uab.cat/record/145367 https://dx.doi.org/urn:doi:10.1007/s00033-013-0393-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Liénard equation Limit cycles Piecewise differential equation |
| Sumario: | We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations x = y + sgn(gm (x, y))F (x), y = -x, where the zero set of the function sgn(gm (x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the origin of coordinates dividing the plane in sectors of angle 2π/m, and sgn(z) denotes the sign function. |
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