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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (8): 830-836.

• 论文 • 上一篇    下一篇

THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM

韩强1, 张善元2, 杨桂通2   

  1. 1. Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P R China;
    2. Taiyuan University of Technology, Taiyuan 030024, P R China
  • 收稿日期:1997-08-13 修回日期:1999-01-27 出版日期:1999-08-18 发布日期:1999-08-18

THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM

Han Qiang1, Zhang Shanyuan2, Yang Guitong2   

  1. 1. Department of Mechanics, College of Traffic and Communications, South China University of Technology, Guangzhou 510641, P R China;
    2. Taiyuan University of Technology, Taiyuan 030024, P R China
  • Received:1997-08-13 Revised:1999-01-27 Online:1999-08-18 Published:1999-08-18

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摘要： In this paper, the system of the forced vibration T-λ1T+λ2T2+λ3T3=ε(gcosωt-ε′T)is discussed, which contains square and cubic items. The critical condition that the system enters chaotic states is given by the Melnikov method. By Poincaré map, phase portrait and time_displacement history diagram, whether the chaos occurs is determined.

关键词: chaos, Melnikov method, Poincaré map, phase portrait, time_displacement diagram

Abstract: In this paper, the system of the forced vibration T-λ1T+λ2T2+λ3T3=ε(gcosωt-ε′T)is discussed, which contains square and cubic items. The critical condition that the system enters chaotic states is given by the Melnikov method. By Poincaré map, phase portrait and time_displacement history diagram, whether the chaos occurs is determined.

Key words: chaos, Melnikov method, Poincaré map, phase portrait, time_displacement diagram

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