基于T-S模糊模型的临界混沌系统复杂动力学分析

针对新近提出的临界混沌系统,在其相应的Takagi-Sugeno(T-S)模糊模型基础上,通过给每个模糊规则后件施加一类扰动并调节这些扰动,深入研究了该混沌系统的复杂动力学特性.仿真结果表明:除了具有已经发现的由镜相形成机制所决定的复合结构外,该混沌系统仍然具有尚未发现的由压缩和拉伸形成机制所决定的其他复杂动力学行为.

Complex Dynamics Analysis for T-S Fuzzy Model Based Critical Chaotic System

The critical chaotic system is a new chaotic system. Based on the Takagi-Sugeno (T-S) fuzzy model of the chaotic system,by adding a type of parametric perturbations to the fuzzy consequences and varying the perturbations,the complex dynamical behaviors of the critical chaotic system was further studied. Numerical analysis and simulations show that: besides the compound topological structure obtained by the mirror-operation forming mechanism,the critical chaotic attractor still has more abundant and complex dynamical behaviors,which are obtained by a new and so-called compression and pull forming mechanism.