Resonance and chaos behavior in a two-degree-of-freedom Duffing system with cubic coupled terms

Ruihong Li, Wei Xu, Shuang Li

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The dynamical behaviors for a class of two-degree-of-freedom Duffing system with cubic coupled terms are evaluated, where multiple scale method is adopted to find the first-order steady-state response of the system. The effect of cubic terms on system response is investigated by analyzing the principal resonance and internal resonance, then the bifurcation process is analyzed in terms of the intensity of external force. The numerical results show that besides the route to chaos through period doubling, the system exists a kind of sudden transition route between periodic motion and chaotic vibrations, which are further verified by the top Lyapunov exponent, phase portrait and Poincar mapping analysis on dynamical behavior of the system.

Original languageEnglish
Pages (from-to)200-203
Number of pages4
JournalYingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Volume24
Issue number2
StatePublished - Jun 2007

Keywords

  • Coupled Duffing system
  • One-to-one internal resonance
  • Period doubling bifurcation
  • Principal resonance
  • The top Lyapunov exponent

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