摘要
首先理论上分析了一个二维离散超混沌系统混沌吸引子的存在性.数值模拟得到系统随参数d变化的分岔图,Lyapunov指数谱及吸引子图像.利用逃逸时间算法原理,给出了二维离散系统的逃逸时间吸引盆算法和程序设计.利用小波函数构成的非线性映射压缩法对系统的超混沌控制进行了研究,并对该方法进行了改进,得到了丰富的控制结果.
In the paper, the existence of the attractor in a two-dimensional hyperchaotic discrete system is studied. The bifurcation diagram with the parameter, the Lyapunov exponent with the parameter, and attractors are got by means of numerical simulation. The escape-time fractal basins algorithm and the programming are also studied using the algorithm of escape-time. The hyperchaotic of the system is controlled by the nonlinear mapping on wavelet function. So, the method is improved and the abundance control periodic orbits are obtained.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第6期1457-1462,共6页
Journal of Sichuan University(Natural Science Edition)
基金
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),
