Van Der Pol-Duffing Osilatöründe Senkronizasyon

Yıl 2019, Cilt: 40 Sayı: 2, 340 - 346, 30.06.2019

Selahattin Kındıkoğlu Rıfat Yazıcı

https://doi.org/10.17776/csj.445260

Öz

On The Synchronization of Van Der Pol-Duffing Oscillator

Öz

The
most well known property of chaotic systems is their sensitivity to initial
conditions. In this work the criterion presented in literature for
synchronizing two chaotic systems is applied to a system consisting of two 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 certain subsystems 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 Lyapunov function, also by computing all the Lyapunov exponents
and Kolmogorov entropy.

Anahtar Kelimeler

Chaotic systems, Lypunov exponent

Kaynakça

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