Many periodic solutions for a second order cubic periodic differential equation
The aim of this work is to provide results that assure the existence of many isolated T-periodic solutions for T-periodic second-order differential equations of the form x'' = a(t)x+b(t)x2+c(t)x3. We use bifurcation methods, including Malkin functions and results of Fonda, Sabatini and Zan...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:232163 |
| Acceso en línea: | https://ddd.uab.cat/record/232163 https://dx.doi.org/urn:doi:10.1007/s00605-020-01433-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Second order differential equation Cubic Periodic Bifurcation methods |
| Sumario: | The aim of this work is to provide results that assure the existence of many isolated T-periodic solutions for T-periodic second-order differential equations of the form x'' = a(t)x+b(t)x2+c(t)x3. We use bifurcation methods, including Malkin functions and results of Fonda, Sabatini and Zanolin. In addition, we give a general result that assures the existence of a T-periodic perturbation of a non-isochronous center with an arbitrary number of T-periodic solutions. |
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