物理摆的多吸引子混沌状态实现与理论模拟

Implementation and simulation of chaotic behavior of multiple-attractor generated by a physical pendulum

本文首先利用一个物理摆实现了多吸引子混沌现象 ,并对产生混沌的关键因素及相图进行了分析 .然后从力学原理出发用计算机对该系统进行了模拟 ,得到了与实验相图符合得很好的理论模拟相图 ,并在模拟相图中验证了混沌对初始状态的敏感性 .

An experiment about chaotic behavior of multiple\|attractor generated by a physical pendulum was described and the experimental phase chart and the important parameters to generate chaotic behavior were analyzed. Then based on Newton's equation of motion the theoretical phase chart with computer simulation is accordant with the experimental one very well. The susceptibility for final state to its initial condition was also analyzed in the simulative phase chart.