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物理学报. 2007, 56(9): 5136-5141.
doi: 10.7498/aps.56.5136.
超混沌Lorenz系统
- 收稿日期: 2006-10-24
- 修回日期: 2006-12-13
- 刊出日期: 2007-09-20
摘要: 对Lorenz系统添加一个非线性控制器，使之构成四维超混沌Lorenz系统.利用分岔图、Lyapunov指数谱及相图分析方法，研究了超混沌Lorenz系统的运动规律.数值模拟结果表明：新引入参数处于不同取值范围时，超混沌Lorenz系统可以分别呈现收敛、发散、周期、混沌及超混沌动力学行为.
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关键词:
- Lorenz系统 /
- 超混沌 /
- Lyapunov指数 /
- 分岔
English Abstract
Hyperchaotic Lorenz system
- Received Date:
24 October 2006
- Accepted Date:
13 December 2006
- Published Online:
20 September 2007
Abstract: This paper presents a four-dimensional hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponent spectrum and phase diagram. Numerical simulations show that the new system's behavior can be convergent, divergent, periodic, chaotic and hyperchaotic as the parameter varies.
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Keywords:
- Lorenz system /
- hyperchaos /
- Lyaponov exponents /
- bifurcation
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