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Pitchfork bifurcation and circuit implementation of a novel Chen hyper-chaotic system.
- Source :
-
Chinese Physics B . Mar2012, Vol. 21 Issue 3, p1-9. 9p. - Publication Year :
- 2012
-
Abstract
- In this paper, a novel four dimensional hyper-chaotic system is coined based on the Chen system, which contains two quadratic terms and five system parameters. The proposed system can generate a hyper-chaotic attractor in wide parameters regions. By using the center manifold theorem and the local bifurcation theory, a pitchfork bifurcation is demonstrated to arise at the zero equilibrium point. Numerical analysis demonstrates that the hyper-chaotic system can generate complex dynamical behaviors, e.g., a direct transition from quasi-periodic behavior to hyper-chaotic behavior. Finally, an electronic circuit is designed to implement the hyper-chaotic system, the experimental results are consist with the numerical simulations, which verifies the existence of the hyper-chaotic attractor. Due to the complex dynamic behaviors, this new hyper-chaotic system is useful in the secure communication. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16741056
- Volume :
- 21
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Chinese Physics B
- Publication Type :
- Academic Journal
- Accession number :
- 74076117
- Full Text :
- https://doi.org/10.1088/1674-1056/21/3/030501