Limit cycles for a class of fourth-order autonomous differential equations
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation ....x - (λ + µ)...x + (1 + λµ)¨x - (λ + µ) ˙x + λµx = εF(x, x,˙ x, ¨...x), where λ, µ and ε are real parameters, ε is small and F is a nonlinear function.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150544 |
| Acceso en línea: | https://ddd.uab.cat/record/150544 |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic orbit Fourth-order differential equation Averaging theory |
| Sumario: | We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation ....x - (λ + µ)...x + (1 + λµ)¨x - (λ + µ) ˙x + λµx = εF(x, x,˙ x, ¨...x), where λ, µ and ε are real parameters, ε is small and F is a nonlinear function. |
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