混沌的可分拆性研究

Study of Decomposition Characteristic of Chaos

提出混沌可分拆性的概念,首先利用限幅(随机)采样方法获得离散混沌系统的子时间序列集,然后通过重构其子序列集的吸引子、计算吸引子的维数等方法研究子时间序列集的动力学行为.以Log istic满映射为例给出了计算和分析结果.研究结果表明:确定性系统的混沌时间序列的子序列集也是混沌时间序列,即混沌具有可分拆性.

In this paper,at first ,the subsets of time series of chaotic system are obtained by random-sampling. Then,the dynamical behaviors of subsets of time series are investigated by constructing its return map and calculating information dimension and relation dimension. Take the I.ogistic surjective maping as an example,the calculating and analyzing results are given. The study results show that the subsets of chaotic time series are also chaotic series, i. e. ,the chaos is decomposable.