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物理学报. 2008, 57(4): 2092-2099.
doi: 10.7498/aps.57.2092.
共轭Chen混沌系统的分岔分析及基于该系统的超混沌生成研究
- 收稿日期: 2007-09-01
- 修回日期: 2007-11-15
- 刊出日期: 2008-02-05
English Abstract
The bifurcation analysis of a conjugate Chen chaotic system and the hyperchaos generation based on the system
- Received Date:
01 September 2007
- Accepted Date:
15 November 2007
- Published Online:
05 February 2008
Abstract: The Hopf bifurcation is analyzed for a new type of three-dimensional autonomous chaotic system，of which the chaotic attractor belongs to the category of conjugate Chen attractors. A new four-dimensional autonomous hyperchaotic system is constructed based on this chaotic system by introducing an additional controller. This hyperchaotic system with one parameter presents hyperchaotic behavior over a range of parameter values. The analysis of Lyapunov exponents and bifurcation diagram demonstrates the evolution process from periodic orbits， quasi-periodic orbits to chaos， and further to hyperchaos as the parameter increases.
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Keywords:
- chaos /
- hyperchaos generation /
- Hopf bifurcation /
- bifurcation analysis
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