Synchronization and anti-synchronization of chaos for a multi-degree-of-freedom dynamical system by control of velocity

Weiyang Qin, Xudong Jiao, Tao Sun

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

For multi-degree-of-freedom dynamical systems, a novel control method was proposed to realize synchronization and anti-synchronization of chaos between the original and derived systems. The presented method was proved theoretically and realized by linear coupling of velocity. Furthermore, for any coupling coefficient larger than the critical value, the two systems can continue synchronization and anti-synchronization by the coupling method. This means that the synchronization and anti-synchronization can be kept within a wide range of coupling parameters. The simulation results for Duffing and Mathieu systems proved that the proposed method was correct and effective.

Original languageEnglish
Pages (from-to)146-152
Number of pages7
JournalJVC/Journal of Vibration and Control
Volume20
Issue number1
DOIs
StatePublished - Jan 2014

Keywords

  • Anti-synchronization
  • chaos
  • dynamical system
  • synchronization
  • velocity

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