Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order

Liang Chen, Chengdai Huang, Haidong Liu and Yonghui Xia
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Liang Chen: The Key Laboratory of Cognitive Computing and Intelligent Information Processing of Fujian Education Institutions, Department of Mathematics and Computer, Wuyi University, Wu Yishan 354300, China
Chengdai Huang: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
Haidong Liu: School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
Yonghui Xia: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2019, vol. 7, issue 6, 1-16

Abstract: The paper proves a unified analysis for finite-time anti-synchronization of a class of integer-order and fractional-order chaotic systems. We establish an effective controller to ensure that the chaotic system with unknown parameters achieves anti-synchronization in finite time under our controller. Then, we apply our results to the integer-order and fractional-order Lorenz system, respectively. Finally, numerical simulations are presented to show the feasibility of the proposed control scheme. At the same time, through the numerical simulation results, it is show that for the Lorenz chaotic system, when the order is greater, the more quickly is anti-synchronization achieved.

Keywords: finite-time; anti-synchronization; chaotic systems; unknown parameters (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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