Synchronization of the fractional-order hyperchaotic Lorenz system

【Author】

Weibo Jiang;Tiedong Ma;

【Abstract】

In this paper, the synchronization of fractional- order hyperchaotic Lorenz system is investigated. Based on a time-domain method and the Lyapunov stability theory, the synchronization problem of the fractional-order system can be converted into an equivalent problem of stabilizing the integer-order system. Numerical simulations are used to illustrate the effectiveness of the proposed synchronization method.

【Keywords】

chaos; synchronization; fractional-order hyperchaotic Lorenz system; one-way coupling method

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Total: 12 articles

  • [1] Zhou Ping(a)b) , Cheng Yuan-Ming(b), and Kuang Fei(b) a)Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China b)Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China, Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems), Chinese Physics B,
  • [2] Jianbing Hu;;Yan Han;;Lingdong Zhao, Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems, Communications in Nonlinear Science and Numerical Simulation,
  • [3] Xing-Yuan Wang;;Jun-Mei Song, Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control, Communications in Nonlinear Science and Numerical Simulation,
  • [4] Chunguang Li;;Guanrong Chen, Chaos in the fractional order Chen system and its control, Chaos, Solitons and Fractals,

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