Duffing—van der Pol非线性振动系统混沌运动的图形识别  

GRAPHIC RECOGNITION FOR CHAOS MOTION IN DUFFING-VAN DER POLNON-LINEAR VIBRATION SYSTEM

作　　者：王黎辉[1] 冯宝成[2] 

机构地区：[1]连云港师范高等专科学校,江苏连云港222006 [2]青岛理工大学理学院,山东青岛266033

出　　处：《山东农业大学学报（自然科学版）》2006年第4期651-654,共4页Journal of Shandong Agricultural University：Natural Science Edition

摘　　要：运用数值计算和计算机图形识别相结合的方法,研究了包含九个参数的Duffing-van der Pol非线性振动系统。通过绘制该系统的时程曲线、相平面图、Poincaré映射图、功率谱图和吸引子图等来判断和研究混沌现象。By the help of numerical analysis and graphic recognition, Duffing - van der Pol non - linear vibration system with 9 parameters has been researched, the Graphic User Interface contains initial conditions, 9 parameters, power spectrums, trochoid chart of phase portraits, Poineare mapping, analogous dynamic graph of displacements and the analogous vibration graph of mass blocks, the various dynamic characteristics of the non - linear vibration can be attained, which makes it possible to fully implement the visualized computer experiments and study of Duiffing - van der Pol non - linear vibration system.

关 键 词：图形识别 Duffing-van der Pol非线性振动系统 混沌 

分 类 号：TH122[机械工程—机械设计及理论]