A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

作者:Zhou Ping*; Huang Kun; Yang Chun de
来源:Discrete Dynamics in Nature and Society, 2013, 2013: 910189.
DOI:10.1155/2013/910189

摘要

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.

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