THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM

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

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THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM

Han Qiang¹, Zhang Shanyuan², Yang Guitong²

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

Abstract

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

2010 MSC Number:

O343.5

Han Qiang;Zhang Shanyuan;Yang Guitong. THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM. Applied Mathematics and Mechanics (English Edition), 1999, 20(8): 830-836.

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THE STUDY ON THE CHAOTIC MOTION OF A NONLINEAR DYNAMIC SYSTEM

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