Chaos in diffusionless lorenz system with a fractional order and its control

Yong Xu, Rencai Gu, Huiqing Zhang, Dongxi Li

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

This paper aims to investigate the phenomenon of Diffusionless Lorenz system with fractional-order. We discuss the stability of equilibrium points of the fractional-order system theoretically, and analyze the chaotic behaviors and typical bifurcations numerically. We find rich dynamics in fractional-order Diffusionless Lorenz system with appropriate fractional order and system parameters. Besides, the control problem of fractional-order Diffusionless Lorenz system is examined using feedback control technique, and simulation results show the effectiveness of the method.

Original languageEnglish
Article number1250088
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number4
DOIs
StatePublished - Apr 2012

Keywords

  • bifurcations
  • chaotic behaviors
  • control
  • diffusionless Lorenz system
  • Fractional-order

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