用波尔共振仪研究混沌现象

摘要

Using a semiconductor laser as a light source,a mouse as a displacement sensor,the vibration of balance wheel in Bohr resonance instrument is converted to the trajectory of the mouse which is recorded by the software of Ghost Mouse-Setup and processed by the software of Labview.The experimental results show that the vibration amplitude of balance wheel decreases gradually with time and stop finally in all damping vibrations, but the single vibration process of balance wheel is different and random.The vibration of balance wheel will e-ventually shrink to a point after enough time,to form a stable focus,namely chaotic attractor.This is chaos phe-nomenon of balance wheel damping vibration occurs in Bohr resonance instrument.%用半导体激光器作为光源，用鼠标作为位移传感器，将波尔共振仪摆轮的振动转化为鼠标的运动轨迹，并通过Ghost Mouse-Setup软件记录鼠标轨迹，最后通过Labview软件对记录的轨迹进行信号处理，通过观察分析吸引子来研究波尔共振仪中的混沌现象。实验结果表明：波尔共振仪中摆轮做阻尼振动时，其振动振幅出现随时间逐渐减小，最终停止摆动的确定性规律，但每一次摆轮的运动过程都是随机的，各不相同。只要时间足够长，摆轮最终都会收缩成一点，形成稳定的焦点，即混沌吸引子。这就是波尔共振仪中摆轮做阻尼振动出现的混沌现象。