SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL-Reference-Cited by-同舟云学术

SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL

Published:2008-12 Issue:12 Volume:18 Page:3731-3736
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LIU ZHI-YU¹,LIU CHIA-JU²,HO MING-CHUNG³,HUNG YAO-CHEN⁴,HSU TZU-FANG⁵,JIANG I-MIN¹

Affiliation:

1. Department of Physics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, R.O.C

2. Graduate Institute of Science Education, National Kaohsiung Normal University, Kaohsiung 824, Taiwan, R.O.C

3. Department of Physics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan, R.O.C

4. Institute of Physics, Academia Sinica, Taipei 115, Taiwan, R.O.C

5. Department of Applied Physics, National PingTung University of Education, Pingtung 900, Taiwan, R.O.C

Abstract

This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T.N.Č. hyperchaotic oscillator is used as the master system, and the Rössler system is used as the slave system. Numerical simulations verify these results. Additionally, the effect of noise is investigated by measuring the mean squared error (MSE) of two systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408022688

Reference30 articles.

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