Synchronization in a nonidentical fractional order of a proposed modified system

Khalili Golmankhaneh A., Arefi R., Baleanu D.

JVC/Journal of Vibration and Control, vol.21, no.6, pp.1154-1161, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.1177/1077546313494953
  • Journal Name: JVC/Journal of Vibration and Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1154-1161
  • Keywords: active control, chaos synchronize, fractional-order systems, Synchronization
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, the fractional order of a new chaotic system was studied and the minimum effective dimension for which the system remains chaotic was calculated. We have presented the chaos synchronization of two identical and nonidentical fractional orders of the new system by using active control. Furthermore, the Laplace transform and the Niemann-Trouvaille fractional integral operator were used for synchronizing two system.