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

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...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.294-299
Main Authors: Zhou, Ping, Huang, Kun, Yang, Chun-de
Format: Article
Language:English
Subjects:
Chaos theory
Computer simulation
Dynamical systems
Dynamics
Liapunov functions
Lyapunov exponents
Mathematical models
Mathematical research
Synchronism
Synchronization
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Summary: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/910189