摘要
阐述了计算微分方程组最大Lyapunov指数的技术,介绍了由一维可观察量计算系统关联维数的方法.利用Lyapunov指数作判据,通过坐标变换,构造了具有旋转对称性的广义Lorenz奇怪吸引子,分析了奇怪吸引子的运动特征并计算了奇怪吸引子的关联维数.
The technique of calculating the largest Lyapunov exponent of the differential equations is expounded, and the method determining the correlation dimension of the system from a time series is introduced. By utilizing the Lyapunov exponent as criterion and transforming the coordinates, the rotation symmetric generalized Lorenz strange attractors are constructed, and the activity characteristics of the strange attractors are analyzed and the correlation dimensions of the strange attractors are calculated.
出处
《计算物理》
CSCD
北大核心
2003年第5期458-462,共5页
Chinese Journal of Computational Physics
基金
国家自然科学基金(69974008)
中国博士后科学基金
辽宁省自然科学基金(972194)资助项目
