Synchronization in a nonidentical fractional order of a proposed modified system

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

JVC/Journal of Vibration and Control, cilt.21, sa.6, ss.1154-1161, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1177/1077546313494953
  • Dergi Adı: JVC/Journal of Vibration and Control
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1154-1161
  • Anahtar Kelimeler: active control, chaos synchronize, fractional-order systems, Synchronization
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.