PERIODIC WINDOWS OF NONLINEAR GEAR SYSTEM BASED ON SYMBOLIC DYNAMICS  

作　　者：GAO Zhiying SHEN Yunwen LIU Xiaoning 

机构地区：[1]School of Mechatronics Engineering,Northwestern Polytechnical University, Xi＇an 710072, China

出　　处：《Chinese Journal of Mechanical Engineering》2006年第3期434-438,共5页中国机械工程学报（英文版）

基　　金：This project is supported by National Natural Science Foundation of China(No.50075070).

摘　　要：The periodic window is researched by means of the symbolic dynamics and formal language. Firstly, the proper sampling period is taken and the orbital points of periodic motion are obtained through Poincar6 mapping. Secondly, according to the method of symbolic dynamics of one-dimensional discrete mapping, the symbolic sequence describing the periodic orbit is obtained. Finally, based on the symbolic sequence, the corresponding model of minimal finite automation is constructed and the entropy is obtained by calculating the maximal eigenvalue of Stefan matrix. The results show that the orbits in periodic windows can be strictly marked by using the method of symbolic dynamics, thus a foundation for control of switching between target orbits is provided.The periodic window is researched by means of the symbolic dynamics and formal language. Firstly, the proper sampling period is taken and the orbital points of periodic motion are obtained through Poincar6 mapping. Secondly, according to the method of symbolic dynamics of one-dimensional discrete mapping, the symbolic sequence describing the periodic orbit is obtained. Finally, based on the symbolic sequence, the corresponding model of minimal finite automation is constructed and the entropy is obtained by calculating the maximal eigenvalue of Stefan matrix. The results show that the orbits in periodic windows can be strictly marked by using the method of symbolic dynamics, thus a foundation for control of switching between target orbits is provided.

关 键 词：Nonlinear gear system Periodic window Symbolic sequence Finite automation Entropy 

分 类 号：TH132.4[机械工程—机械制造及自动化]