PMUCR Method with Applications to High-dimensional Nonlinear System
Yu Xiang,Zhu Shijian,Liu Shuyong
(Institute of Noise and Vibration, Naval University of Engineering, Wuhan 43003 3, China)

Abstract: Analysing the inefficiency of the conventional Cell Mapping Methods in the global analysis for high-dimensional nonlinear system, several necessary principles applied to high-dimensional systems are proposed: the appropriate sel ection of the investigating plane, the reduction of the data size, the determination of the coordinates of attractors in the phase space. Thus the idea of dynam ic array is introduced into the method of Point Mapping Under Cell Reference (PMUCR) to improve the computing efficiency. A comparison of the CPU for 2D system and 4D one is carried out, and the results confirm the efficiency of this modified method for high-dimensional system. Finally, the periodic and chaotic motions of a nonlinear vibration-isolation system for on-board machinery are investi gated.
Keywords: cell mapping, high-dimensional nonlinear system, vibration- solation system, chaos.