Year: 2019
Author: Rebiha Benterki, Jaume Llibre
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 1 : pp. 11–26
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.11
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 1 : pp. 11–26
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Periodic solution averaging method Duffing differential equation bifurcation stability.