非线性振动系统在强、弱激励下的混沌表现及分析

Behaviors and Analysis of Non-linear Vibration Systems Forced by the Strong and Weak Exciters

以两类受迫。Duffing方程为例,运用数值计算和理论推演方法,对两者混沌吸引子之间差异进行了图形化比较和分析,并利用耗散结构理论对产生差异的原因进行了合理解释。

For the chaotic non-linear vibration systems.the difference of being forced by s trong and weak exciters, the difference of behaviors appeared. In the paper, tak ing the famous Duffing's equation as examples, the differences between the chaot ic solutions of the two systems are presented by the numerial and academic metho ds, and the analysis and explain are given in according to the theory of dissipa tion structure.