Journal
CHINESE JOURNAL OF PHYSICS
Volume 56, Issue 3, Pages 793-806Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cjph.2018.03.002
Keywords
Fractional-order chaotic system; Multiple variable-wing attractor; Various coexisting attractor; Transient chaos; Circuit implementation
Categories
Funding
- National Natural Science Foundation of China [61471310, 61176032]
- Natural Science Foundations of Hunan Province, China [2015JJ2142]
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A novel 3D fractional-order chaotic system is proposed in this paper. And the system equations consist of nine terms including four nonlinearities. It's interesting to see that this new fractional-order chaotic system can generate one- wing, two-wing, three-wing and four-wing attractors by merely varying a single parameter. Moreover, various coexisting attractors with respect to same system parameters and different initial values and the phenomenon of transient chaos are observed in this new system. The complex dynamical properties of the presented fractional-order systems are investigated by means of theoretical analysis and numerical simulations including phase portraits, equilibrium stability, bifurcation diagram and Lyapunov exponents, chaos diagram, and so on. Furthermore, the corresponding implementation circuit is designed. The Multisim simulations and the hardware experimental results are well in accordance with numerical simulations of the same system on the Matlab platform, which verifies the correctness and feasibility of this new fractional-order chaotic system.
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