Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters

Journal of Lanzhou University of Technology ›› 2020, Vol. 46 ›› Issue (3): 150-154.

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Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters

ZHANG Zhi-ming¹, ZHANG Yi-fan², LI Tian-zeng³

1. College of Software, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;
2. College of Intelligent Manufacturing and Automation, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;
3. School of Science, Sichuan University of Science and Engineering, Zigong 643000, China

Received:2018-10-23 Online:2020-06-28 Published:2020-08-19

Abstract

Abstract: A new hyperchaotic system based on Volta's system is presented via adding linear control.The hyperchaotic behavior and chaotic behavior of this new 4D Volta's system are studied by Bifurcation diagram, Lyapunov exponents spectrum and phase diagram.The hyperchaotic behavior and chaotic behavior of this new 4D Volta's system with varying parameters are studied by Bifurcation diagram, Lyapunov exponents spectrum and phase diagram.Then, the Lyapunov stability theorem and the adaptive control theory are both employed to realize synchronization of the two hyperchaos with unknown parameters.Our simulation results have demonstrated effectiveness and validity of the proposed method.

Key words: hyperchaotic system, feedback control, Lyapunov exponents spectrum

CLC Number:

O175

ZHANG Zhi-ming, ZHANG Yi-fan, LI Tian-zeng. Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters[J]. Journal of Lanzhou University of Technology, 2020, 46(3): 150-154.

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Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters

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