奇异吸引子的存在性及结构分析

Using topological, ergodic and qualitative methods, in this project we analysis the existence and structure of strange attractors; we also simulate these nonlinear systems by computational analysis, this will be helpful for our theoretical analysis and verifying theoretical results. We give a global and systematic description from different angle on the global dynamical behavior for some classes of nonlinear systems, it will.be provided as a base for our further understanding of nonlinear system.itself

该项目利用拓扑、遍历、定性分析等方法从理论上分析奇异吸引子的存在性与内在结构；同时利用数值分析等手段模拟这些非线性系统，辅助理论分析并验证理论结果。该项目将从多个角度对非线性系统的全局动力行为，给出更加全面、系统、深刻的描述，对人们深入理解非线性系统本身提供理论和数值的依据。