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Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory

Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory

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 ¨y+asiny=bsint and ¨y+aycy3=bsint, 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.

Author Details

Rebiha Benterki

Jaume Llibre