Henon-Heiles体系的相空间轨迹研究  

Studying the Trajectories in Phase Space of Henon-Heiles System

作　　者：韩明[1] 杨华[1] 孙亚威[1] 

机构地区：[1]信息工程大学理学院,河南郑州450001

出　　处：《信息工程大学学报》2006年第4期408-410,共3页Journal of Information Engineering University

基　　金：国家自然科学基金资助项目(10347123)

摘　　要：对于哈密顿系统,随着体系能量的增高,KAM环面不断破裂,系统的运动逐渐由规则变为混沌。文章利用庞加莱截面来研究二自由度混沌系统Henon-Heiles体系在相空间的运动轨迹,并通过图像讨论了体系的动力学特性和混沌的形成过程。With increase of system energy, KAM tori for the Henon-Heiles system is incessantly breaking.The motion of system begins moving from regular to stochastic. In this theory, we used Poincare section to study the trajectories for the Henon-Heiles system with two degrees of freedom in phase space. We also discussed the system＇s dynamics characteristic and chaos＇pose with the picture.

关 键 词：混沌 Henon-Heiles体系 KAM定理 

分 类 号：O431.2[机械工程—光学工程]