This paper introduces a new 3-D quadratic autonomous system, which can generate two coexisting single-wing chaotic
attractors and a pair of diagonal double-wing chaotic attractors. More importantly, the system can generate a fourwing
chaotic attractor with very complicated topological structures over a large range of parameters. Some basic
dynamical behaviors and the compound structure of the new 3-D system are investigated. Detailed bifurcation analysis
illustrates the evolution processes of the system among two coexisting sinks, two coexisting periodic orbits, two coexisting
single-wing chaotic attractors, major and minor diagonal double-wing chaotic attractors, and a four-wing chaotic
attractor. Poincare´-map analysis shows that the system has extremely rich dynamics. The physical existence of the fourwing
chaotic attractor is verified by an electronic circuit. Finally, spectral analysis shows that the system has an extremely
broad frequency bandwidth, which is very desirable for engineering applications such as secure communications.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1000759 |
| Date | 02 January 2007 |
| Creators | QI, G, Chen, G, van Wyk, MA, van Wyk, BJ, Zhang, Y |
| Publisher | Elsevier |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | |
| Rights | Elsevier |
| Relation | Chaos, Solitons and Fractals |
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