Abstract This paper presents a new four-dimensional
(4-D) smooth quadratic autonomous chaotic system,
which can present periodic orbit, chaos, and hyperchaos
under the conditions on different parameters.
Importantly, the system can generate a four-wing
hyper-chaotic attractor and a pair of coexistent doublewing
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,
Poincaré maps, bifurcation diagrams, and Lyapunov
exponents, to investigate some basic dynamical
behaviors of the proposed 4-D system.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1001264 |
| Date | 16 July 2009 |
| Creators | Cang, S, Qi, G, Chen, Z |
| Publisher | Springer Science |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | |
| Rights | © Springer Science+Business Media B.V. |
| Relation | Nonlinear Dynamics |
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