摘要
提出了一个新的三维连续自治混沌系统。该系统含有4个控制参数,2个不同的非线性乘积项,并且方程式中含有指数形式的非线性项e(dz)。利用理论推导、数值仿真对系统的基本动力学特性进行了分析,通过分岔图、Lyapunov指数图、Poincaré映射和相图等分析了控制参数变化时,系统动力学行为的变化。结果表明该新系统不但和Lorenz系统族有类似的性质,而且又呈现不同的非线性特征。
In this paper, a new three-dimensional autonomous chaotic system is presented. Besides there are four control parameters and two different nonlinear cross-product terms in the governed equations, one equation contains an exponential nonlinear function e^（dt）. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new three-dimensional autonomous system versus the control parameters is illustrated by bifurcation diagrams, Lyapunov-exponent spectrums, Poincar maps and phase portraits etc. The results indicate that this system not only has some similar characteristics to the Lorenz family, but also presents some distinct nonlinear properties.
出处
《复杂系统与复杂性科学》
EI
CSCD
2008年第1期28-36,共9页
Complex Systems and Complexity Science
基金
国家自然科学基金(50475109)
甘肃省自然科学基金(3ZS042-B25-049)
兰州交通大学科研基金(DXS-07-0028
DXS-07-0029)
关键词
新混沌系统
分岔
混沌
LYAPUNOV指数谱
相图
new autonomous chaotic system
bifurcation
chaos
Lyapunov exponent
phase portrait
