On The Synchronization of Van Der Pol-Duffing Oscillator


Creative Commons License

KINDIKOĞLU S., YAZICI R.

Cumhuriyet Science Journal, cilt.40, sa.2, ss.340-346, 2019 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Cumhuriyet Science Journal
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.340-346
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The most well known property of chaotic systems is their sensitivity to initial conditions. In this workthe criterion presented in literature for synchronizing two chaotic systems is applied to a system consisting oftwo Van der Pol-Duffing oscillators. First, the route to chaos is investigated for the Duffing oscillator.Furthermore, the Lyapunov function approach is used to design a high dimensional chaotic system. Then certainsubsystems of a nonlinear chaotic system are synchronized by linking them with a common signal.Synchronization has been observed when there exists an asymptotic stability and an appropriate Lyapunovfunction, also by computing all the Lyapunov exponents and Kolmogorov entropy.