On The Synchronization of Van Der Pol-Duffing Oscillator
Yıl: 2019 Cilt: 40 Sayı: 2 Sayfa Aralığı: 340 - 346 Metin Dili: İngilizce İndeks Tarihi: 28-01-2020
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 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.
Anahtar Kelime: Van Der Pol-Duffing Osilatöründe Senkronizasyon
Öz: Kaotik sistemlerin bilinen en önemli özelliği başlangıç koşullarına duyarlılıktır. Bu çalışmada , literatürde sunulmuş iki kaotik sistemin senkronizasyon kriteri, iki Van Der Pol-Duffing osilatörüne uygulandı. İlk olarak Duffing osilatörü için kaos yolu araştırıldı. Sonra Lyapunov fonksiyon yaklaşımı yüksek boyutlu kaotik bir sistemin oluşturulmasında kullanıldı. Daha sonra doğrusal olmayan bir kaotik sistemin belirli alt sistemleri ortak bir sinyal ile bağlanarak senkronize edildi. Senkronizasyon, uygun Lyapunov fonksiyonu ve asimptotik kararlığının varlığı ile gözlendi.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | KINDIKOĞLU S, YAZICI R (2019). On The Synchronization of Van Der Pol-Duffing Oscillator. , 340 - 346. |
| Chicago | KINDIKOĞLU Selahattin,YAZICI Rıfat On The Synchronization of Van Der Pol-Duffing Oscillator. (2019): 340 - 346. |
| MLA | KINDIKOĞLU Selahattin,YAZICI Rıfat On The Synchronization of Van Der Pol-Duffing Oscillator. , 2019, ss.340 - 346. |
| AMA | KINDIKOĞLU S,YAZICI R On The Synchronization of Van Der Pol-Duffing Oscillator. . 2019; 340 - 346. |
| Vancouver | KINDIKOĞLU S,YAZICI R On The Synchronization of Van Der Pol-Duffing Oscillator. . 2019; 340 - 346. |
| IEEE | KINDIKOĞLU S,YAZICI R "On The Synchronization of Van Der Pol-Duffing Oscillator." , ss.340 - 346, 2019. |
| ISNAD | KINDIKOĞLU, Selahattin - YAZICI, Rıfat. "On The Synchronization of Van Der Pol-Duffing Oscillator". (2019), 340-346. |
| APA | KINDIKOĞLU S, YAZICI R (2019). On The Synchronization of Van Der Pol-Duffing Oscillator. Cumhuriyet Science Journal, 40(2), 340 - 346. |
| Chicago | KINDIKOĞLU Selahattin,YAZICI Rıfat On The Synchronization of Van Der Pol-Duffing Oscillator. Cumhuriyet Science Journal 40, no.2 (2019): 340 - 346. |
| MLA | KINDIKOĞLU Selahattin,YAZICI Rıfat On The Synchronization of Van Der Pol-Duffing Oscillator. Cumhuriyet Science Journal, vol.40, no.2, 2019, ss.340 - 346. |
| AMA | KINDIKOĞLU S,YAZICI R On The Synchronization of Van Der Pol-Duffing Oscillator. Cumhuriyet Science Journal. 2019; 40(2): 340 - 346. |
| Vancouver | KINDIKOĞLU S,YAZICI R On The Synchronization of Van Der Pol-Duffing Oscillator. Cumhuriyet Science Journal. 2019; 40(2): 340 - 346. |
| IEEE | KINDIKOĞLU S,YAZICI R "On The Synchronization of Van Der Pol-Duffing Oscillator." Cumhuriyet Science Journal, 40, ss.340 - 346, 2019. |
| ISNAD | KINDIKOĞLU, Selahattin - YAZICI, Rıfat. "On The Synchronization of Van Der Pol-Duffing Oscillator". Cumhuriyet Science Journal 40/2 (2019), 340-346. |
