Solution and dynamics analysis of a fractional‐order hyperchaotic system |
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| Authors: | Shaobo He Kehui Sun Huihai Wang |
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| Affiliation: | 1. School of Physics and Electronics, Central South University, Changsha, China;2. School of Physics Science and Technology, Xinjiang University, Urumqi, China |
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| Abstract: | Numerical solution and chaotic behaviors of the fractional‐order simplified Lorenz hyperchaotic system are investigated in this paper. The solution of the fractional‐order hyperchaotic system is obtained by employing Adomian decomposition method. Lyapunov characteristic exponents algorithm for the fractional‐order chaotic system is designed. Dynamics of the fractional‐order hyperchaotic system are analyzed by means of bifurcation diagrams, Lyapunov characteristic exponents, C0 complexity, and chaos diagram. It shows that this system has rich dynamical behaviors, and it is more complex when the fractional order q is small. It lays a foundation for the practical application of the fractional‐order hyperchaotic systems. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | fractional‐order calculus chaos Adomian decomposition method Lyapunov characteristic exponents C0 complexity |
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