Journal
NONLINEAR DYNAMICS
Volume 59, Issue 3, Pages 515-527Publisher
SPRINGER
DOI: 10.1007/s11071-009-9558-0
Keywords
Chaos; Hyper-chaos; Four-wing attractor; Transient chaos
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Funding
- Natural Science Foundation of China [60774088]
- Foundation of the Application Base and Frontier Technology Research Project of Tianjin [08JCZDJC21900]
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This paper presents a new four-dimensional (4-D) smooth quadratic autonomous chaotic system, which can present periodic orbit, chaos, and hyper-chaos under the conditions on different parameters. Importantly, the system can generate a four-wing hyper-chaotic attractor and a pair of coexistent double-wing hyper-chaotic attractors with two symmetrical initial conditions. Furthermore, a four-wing transient chaos occurs in the system. The dynamic analysis approach- in the paper involves time series, phase portraits, Poincar, maps, bifurcation diagrams, and Lyapunov exponents, to investigate some basic dynamical behaviors of the proposed 4-D system.
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