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Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory |
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| Authors: | Rebiha Benterki Jaume Llibre |
| Institution: | Departement de Mathematiques, Universite de Bordj Bou Arreridj, Bordj Bou Arreridj 34265, El anasser, Algeria; Departament de Matematiques, Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain |
| Abstract: | We use three different results of the averaging theory of first order for studying the existence of new periodic solutions in the two Duffing differential equations $\ddot y+ a \sin y= b \sin t$ and $\ddot y+a y-c y^3=b\sin t$, where $a$, $b$ and $c$ are real parameters. |
| Keywords: | Periodic solution averaging method Duffing differential equation bifurcation stability |
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