Periodic solutions of a class of Duffing differential equations
In this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using three dif...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:222635 |
| Acceso en línea: | https://ddd.uab.cat/record/222635 https://dx.doi.org/urn:doi:10.12150/jnma.2019.167 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging method Bifurcation Duffing differential equation Periodic solution Stability |
| Sumario: | In this work we study the existence of new periodic solutions for the well knwon class of Duffing differential equation of the form x" + cx' + a(t)x + b(t)x3 = h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T-periodic functions. Our results are proved using three different results on the averaging theory of first order. |
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