A New Method For Synchronization Of A Simple Chaotic systems | ||
| The International Conference on Mathematics and Engineering Physics | ||
| Article 2, Volume 8, International Conference on Mathematics and Engineering Physics (ICMEP-8), April 2016, Pages 1-16 PDF (1.58 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/icmep.2016.29609 | ||
| Authors | ||
| Abdel-Azeem Mohamed; Samy H. Darwish | ||
| Faculty of Engineering, Pharos University, Alexandria, Egypt. | ||
| Abstract | ||
| Abstract This paper presents a new algorithm for controlling a class of simple chaotic system that contain only one nonlinear term. Chaos synchronization using parametric controllers is generalized for typical simple chaotic systems based on largest conditional Lyapunov exponents. A more robust and rigorous definition can be given in terms of the Lyapunov exponents. When the Lyapunov exponents for system are all negative, the systems will synchronize. The Pecora -Carroll method is one of the methods for synchronizing chaotic systems. However, the method is restricted to select the driving signals or its configuration. The proposed method does not depend on the choice of the drive signal or its configuration; it depends only on the nonlinear coupling term which makes the largest conditional Lyapunov exponents of the response system negative. The comparison between the implementation of presented method and the Pecora –Carroll(PC) method is explained. Simulations are presented graphically to confirm the validity of the proposed method | ||
| Keywords | ||
| Chaotic system; Lyapunov exponents, synchronization, Stability | ||
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