粘弹性柱的若干动力学性质——数值实验

The Dynamic Properties of the Viscoelastic Column ——Numerical Experiments

主要讨论由粘弹性柱所定义的动力系统的动力学行为．首先利用Ｌｙａｐｕｎｏｖ指数、Ｌｙａ－ｐｕｎｏｖ谱分析了动力系统的各种动力学性质，说明了动力系统在各种参数条件下的动力稳定性以及在特定参数下拥有一个一致渐进稳定的吸引子Λ，同时数值试验表明动力系统满足具有混沌的特征．

The dynamic properties of the dynamic system defined by the column are discussed. First by use of the Lyapunov exponent and Lyapunov spectrum, the various dynamic properties of the dynamic system are obtained. The dynamic stability under various parameters is illustrated and the dynamic system has an asymptotically stable attractor. The numerical experiments show that the dynamic system has the characteristic of the chaos. By use of the cell mapping and Poincare method, the global dynamic properties are finally analyzed.