利用图像处理实现平面工作台三自由度位移的同步检测

为了实现平面工作台三自由度位移的同步检测 ,研制了图像处理位移检测系统。以CCD相机为核心 ,结合显微镜放大、图像采集和图像处理构成检测系统。图像处理软件用VC编制 ,计算并绘制了工作台三自由度位移随时间的变化关系 ,以及工作台在平面内的运动轨迹。系统的位移检测不受工作台大幅转动的影响。检测系统达到了亚像素级的位移分辨率。选择合适的显微镜放大倍率 ,可使检测系统既有较高的位移分辨率 ,又有一定的位移检测范围     

A fractional order hyperchaotic system derived from a Liu system and its circuit realization

In this paper we propose a novel four-dimensional fractional order hyperchaotic system derived from a Liu system.Electronics workbench(EWB) and Matlab simulations show the dynamical behavior of the proposed four-dimensional fractional order hyperchaotic system.Finally,after separately using EWB and Matlab,an electronic circuit is designed to realize the novel four-dimensional fractional order hyperchaotic system and the experimental circuit results are obtained which are identical to software simulations.     

纳米级两维微位移工作台的参数测试

为了分析纳米级两维微位移工作台引入的测量误差 ,介绍了其机械结构及工作原理 ,进行了定位准确度实验和运动方向的直线度 (偏摆 )实验 ,实验结果表明 ,工作台的定位准确度较高 ,运动方向的直线度在工作台工作范围内无需修正 ,即可满足高精度测量的需要     

Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors

In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a single parameter, and the multi-wing type of the chaotic attractors can be displayed in all directions. The system is simple with a large positive Lyapunov exponent and can exhibit some interesting and complicated dynamical behaviours. Basic dynamical properties of the four-dimensional chaotic system, such as equilibrium points, the Poincaré map, the bifurcation diagram and the Lyapunov exponents are investigated by using either theoretical analysis or numerical method. Finally, a circuit is designed for the implementation of the multi-wing chaotic attractors. The electronic workbench observations are in good agreement with the numerical simulation results.     

An analytical and numerical study of chaotic dynamics in a simple bouncing ball model

Dynamics of a ball moving in gravitational field and colliding with a moving table is studied in this paper. The motion of the limiter is assumed as periodic with piecewise constant velocity-it is assumed that the table moves up with a constant velocity and then moves down with another constant velocity.The Poincaré map,describing evolution from an impact to the next impact,is derived and scenarios of transition to chaotic dynamics are investigated analytically and numerically.