On the periodic solutions of a class of duffing differential equations

Jaume Llibre, Luci Any Roberto

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and h(t) are continuous T periodic functions and ε is sufficiently small. Our results are proved using the averaging method of first order.
Original languageEnglish
Pages (from-to)277-282
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Averaging method
  • Bifurcation
  • Duffing differential equation
  • Periodic solution
  • Stability

Fingerprint Dive into the research topics of 'On the periodic solutions of a class of duffing differential equations'. Together they form a unique fingerprint.

  • Cite this

    Llibre, J., & Roberto, L. A. (2013). On the periodic solutions of a class of duffing differential equations. Discrete and Continuous Dynamical Systems- Series A, 33(1), 277-282. https://doi.org/10.3934/dcds.2013.33.277