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

Ping Zhou, Kun Huang and Chun- de Yang

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-6

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:910189

DOI: 10.1155/2013/910189

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