一种简易的自组混沌摆装置

A SIMPLE SELF-ORGANIZING CHAOTIC PENDULUM

混沌现象是非线性系统的经典行为,其相关研究至今仍属于前沿领域。本文设计并实现了一套可变参数的外力驱动的自组混沌摆实验装置。相关研究包括:建立此实验装置的简化动力学方程,改变实验参数并通过图像识别的方法进行实验数据处理及绘制相图,最后将动力学方程的数值模拟结果与实验数据进行比较,验证了装置的可靠性。此外,实验过程中进一步探究与分析混沌现象。该装置提供了一种低成本的对混沌现象的直观化研究方法,可以作为本科生的非线性物理或计算物理课程的实践内容,加深学生对混沌现象及其原理的认识。

Chaos is the classic behavior of nonlinear system,and its related research is still in the forefront.In this paper,a self-organizing chaotic pendulum driven by external force with variable parameters is designed and implemented.We set up the simplified dynamic equation of the experimental device,change the experimental parameters in the experiment,process the experimental data and draw the phase diagram by the method of image recognition,and finally compare the numerical simulation results of the dynamic equation with the actual experimental data to verify the reliability of the device.Besides,in this process,the chaos phenomenon is further explored and analyzed.The device provides a low-cost intuitive research method of chaos phenomenon,which can be used as the practice content of nonlinear physics or computational physics course for undergraduates,and deepen students’understanding and understanding of chaos phenomenon and principle.