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Periodic Solutions of a Class of Duffing Differential Equations

Periodic Solutions of a Class of Duffing Differential Equations

Year:    2019

Author:    Rebiha Benterki, Jaume Llibre

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177

Abstract

In this work we study the existence of new periodic solutions for the well known 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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2019.167

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Periodic solution averaging method Duffing differential equation bifurcation stability.

Author Details

Rebiha Benterki

Jaume Llibre