摘要
基于PASCO系统研制了受周期外力驱动的混沌摆实验仪,调节混沌摆系统的参量可演示非线性动力学特征行为,描绘了无驱动及有驱动下的系统相位图,并分析了初值敏感性、奇异性(奇异吸引子)现象.应用混沌摆的动力学方程,进行Matlab仿真实验.实验结果表明:混沌摆实验系统动力学的性质依赖于振动频率值,系统驱动振幅必须大于一定阈值是混沌相出现的必要条件.
A development of chaotic pendulum instrument was made,which could demonstrate chaos phenomenon driven by periodic force based on PASCO system.Adjusting the parameters of the chaotic pendulum instrument,the system could demonstrate different nonlinear dynamic actions,plot phase diagram sunder situations with or without driving force,and then analyzing sensitivity to the initial value and singularity.Using the dynamic equation for the chaotic pendulum,the simulation experiment based on Matlab was carried out.The results indicated that the properties of the chaotic pendulum dynamic system were sensitive to the driving frequency,and a threshold value of the driving amplitude existed for the appearance of chaos phase.
出处
《物理实验》
北大核心
2011年第11期5-9,共5页
Physics Experimentation
基金
浙江省新世纪高等教育教学改革项目(No.ZC2010020)
物理实验省级示范中心(No.SB1002001-E)
校级教改项目(No.EL1108)
