An averaging method applied to a duffing equation |
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| Authors: | A. Luisa Elgueta Melitta Fiebig-Wittmaack Maria Teresa Villacran |
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| Affiliation: | Departamento de Matematica , Casilla 599, La Serena, Chile |
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| Abstract: | We approximate a Duffing equation by an averaged system. We solve the system explicitely and draw bifurcation diagrams in dependence of the forcing term. We discuss the goodness of the averaging method, relative to the behavior of the solutions in dependence of involved parameters, by comparing with results obtained in [6,10] for the original Duffing equation. |
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| Keywords: | averaging method Duffing equation number of solutions |
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