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.
Birincil Dil | İngilizce |
---|---|
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2019 |
Gönderilme Tarihi | 18 Temmuz 2018 |
Kabul Tarihi | 21 Nisan 2019 |
Yayımlandığı Sayı | Yıl 2019 |