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- Title
A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points.
- Authors
Ping Zhou; Kun Huang; Chun-de Yang
- 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.
- Subjects
CHAOS theory; NUMBER theory; LYAPUNOV exponents; ATTRACTORS (Mathematics); COMPUTER simulation; INTEGERS
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/910189