Chaos synchronization of complex R?ssler system

Authors

Ahmed A. M. Farghaly, College of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Aflaj, Saudi Arabia \\ Department of Mathematics, Faculty of Science, Assiut University, Assiut71516, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper presents chaos synchronization between two identical chaotic systems via nonlinear control technique. The used system is complex R?ssler system. The maximal Lyapunov exponent and the sensitivity on initial conditions are calculated of such system and they emphasis its chaotic behavior. The nonlinear control method has been applied successfully to synchronize the proposed system. Based on Lyaponov function the control input vectors are selected and activated to achieve synchronization. Finally, the numerical simulation are used to show the robustness and effectiveness of proposed method.

Suggested Reviewers

N/A

Recommended Citation

A. M. Farghaly, Ahmed (2013) "Chaos synchronization of complex R?ssler system," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/20