Multipoint Shooting方法寻找混沌系统周期轨迹  

Locating Periodic Trajectories in Chaotic Systems by Multipoint Shooting Method

作　　者：杨华[1] 韩明[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：《武汉大学学报（理学版）》2009年第2期157-161,共5页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10347123)

摘　　要：利用牛顿拉夫申方法和Multipoint Shooting方法分别寻找了Henon映射和Henon-Heiles体系的不稳定周期轨迹,给出了Henon-Heiles体系周期3、周期5和周期7在庞加莱截面上的截点以及相应的相空间轨迹.结果显示,利用Multipoint Shooting方法只用8次迭代即可算出精度为10-14的周期7的点,比牛顿拉夫申方法需要的176次迭代少得多.The unstable periodic orbits of Henon map and Henon-Heiles system are located by way of Newton Raphson method and Muhipoint Shooting method. The points in the Poincare section for period- 3, period 5 and period 7 of Henon-Heiles system are calculated and their phase space orbits are presented. Through Muhipoint Shooting method the points of period-7 with the precision 10 ^-11 can be gained by only 8-time iteration.

关 键 词：混沌 Multipoint Shooting方法 HENON映射 Henon-Heiles体系 

分 类 号：O415.5[理学—理论物理]