摘要
利用延迟重构变换的雅可比行列式，分析了动力系统重构中的拓朴性质。讨论了延迟时间的选择和重构变量本身的条件稳定性对重构拓朴的影响。利用条件Ｌｙａｐｕｎｏｖ指数分析了重构变量本身的好坏。
The topological properties of the delay time reconstruction transformation of the forced Brusselator system are analysed by means of the Jacobian of the transformation. Topological properties depending on the delay time and on the conditional stability of a time series itself are discussed. The conditional Lyapunov exponent is used to judge whether a time series is good or bad. Results show that the choice of the embedding dimension by using saturation of system invariants is not appropriate.
出处
《计算物理》
CSCD
北大核心
1996年第3期315-322,共8页
Chinese Journal of Computational Physics
基金
国家基础性研究重大项目
国家自然科学基金
