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.
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)