Global Chaos Identical and Nonidentical Synchronization of a New 3-D Chaotic Systems Using Linear Active Control

Authors

  • Israr Ahmad
  • Azizan Bin Saaban School of Quantitative Sciences, College of Arts & Sciences, Sintok, UUM
  • Adyda Binti Ibrahim School of Quantitative Sciences, College of Arts & Sciences, Sintok, UUM
  • Mohammad Shahzad College of Applied Sciences Nizwa, Ministry of Higher Education

Keywords:

Synchronization, Lyapunov Stability Theory, Hurwitz Criterion, Active Control

Abstract

Synchronization of chaotic systems is a strategy wherein two chaotic oscillators adjust a given property of their motion to a periodic behavior due to their mutual coupling or forcing. This paper has studied and investigated the Chaos Synchronization problem of unified 3-D chaotic systems and two different 3-D chaotic systems using the Active Control Technique. Based on Lyapunov Stability Theory and Ruth-Hurwitz Criterion and using Active Control Algorithm, it has been shown that the proposed schemes have outstanding transient performances and that analytically as well as graphically, synchronization is globally exponentially stable. Numerical simulations and graphs are imparted to show the efficiency and effectiveness of the proposed schemes.

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Published

2014-02-14

How to Cite

Ahmad, I., Saaban, A. B., Ibrahim, A. B., & Shahzad, M. (2014). Global Chaos Identical and Nonidentical Synchronization of a New 3-D Chaotic Systems Using Linear Active Control. Asian Journal of Applied Sciences, 2(1). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/801