关于Duffing振子混沌运动的研究  

Study of the Chaotic Motion of Duffing Oscillator

作　　者：方见树 

机构地区：株洲师范高等专科学校理化系,湖南株洲

出　　处：《株洲师范高等专科学校学报》2000年第3期25-28,共4页Journal of Zhuzhou Teachers College

摘　　要：分别采用常数变易法和数值模拟法求出了Ｄｕｆｆｉｎｇ振子的微扰解，并给出了解有界的条件。两种求解方法得到的图象不同，表明混沌解对外部条件和求解方法具有敏感性。The pertured solution of Duffing oscillator is obtained by using the variation of constants teachnique and the numerical simulation technique,and the condition of bounded solution is expounded in this paper.The two difference figurines from the two methods indicate the sensitivity of the chaotic solution to external conditions and solutions.

关 键 词：DUFFING振子 混沌运动 敏感性 微扰解 混沌现象 

分 类 号：O415.5[理学—理论物理]