Global Chaos Synchronization of Two different Chaotic Systems Using Nonlinear Control

Authors

  • Israr Ahmad a. School of Quantitative Sciences, College of Arts & Sciences, UUM, Malaysia and b. Lecturer in Mathematics, College of Applied Sciences Nizwa, Ministry of Higher Education, Sultanate of Oman.
  • Azizan Bin Saaban School of Quantitative Sciences, College of Arts & Sciences, UUM, Malaysia
  • Adyda Binti Ibrahim School of Quantitative Sciences, College of Arts & Sciences, UUM, Malaysia
  • Mohammad Shehzad College of Applied Sciences Nizwa, Ministry of Higher Education, Sultanate of Oman.

Keywords:

Synchronization, Nonlinear Active Control, Lyapunov Stability Theory, Lorenz & Li Chaotic Systems.

Abstract

Synchronization between two chaotic systems occurs when the trajectory of one of the system asymptotically follows the trajectory of another system due to coupling or due to forcing. In this research paper, the synchronization problem between two identical Li and identical Lorenz systems and nonidentical Li and Lorenz Chaotic Systems have been addressed. In this study, the synchronization is performed through a nonlinear controller based on Lyapuonov Stability Theory to stabilize the error dynamics. It has been shown that the proposed strategies have excellent transient performances using less control effort with fast transient speed and has shown analytically as well as graphically that synchronization is asymptotically globally stable.

References

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V. Sundarapandian.

V. Sundarapandian.

H. K. Khalil. "Non Linear dynamical Systems", 3rd Ed, NJ 07458, USA, Prentice Hall, 2002.

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Published

2014-02-23

How to Cite

Ahmad, I., Saaban, A. B., Ibrahim, A. B., & Shehzad, M. (2014). Global Chaos Synchronization of Two different Chaotic Systems Using Nonlinear Control. International Journal of Sciences: Basic and Applied Research (IJSBAR), 14(1), 225–238. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/1841

Issue

Vol. 14 No. 1 (2014)

Section

Articles

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