A fast computing method to distinguish the hyperbolic trajectory of an non-autonomous system  

作　　者：贾蒙 樊养余 田维坚 

机构地区：[1]Department of Electronics and Information,Northwestern Poly-technical University

出　　处：《Chinese Physics B》2011年第3期295-299,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60872159)

摘　　要：Attempting to find a fast computing method to DHT （distinguished hyperbolic trajectory）, this study first proves that the errors of the stable DHT can be ignored in normal direction when they are computed as the trajectories extend. This conclusion means that the stable flow with perturbation will approach to the real trajectory as it extends over time. Based on this theory and combined with the improved DHT computing method, this paper reports a new fast computing method to DHT, which magnifies the DHT computing speed without decreasing its accuracy.Attempting to find a fast computing method to DHT （distinguished hyperbolic trajectory）, this study first proves that the errors of the stable DHT can be ignored in normal direction when they are computed as the trajectories extend. This conclusion means that the stable flow with perturbation will approach to the real trajectory as it extends over time. Based on this theory and combined with the improved DHT computing method, this paper reports a new fast computing method to DHT, which magnifies the DHT computing speed without decreasing its accuracy.

关 键 词：Distinguished hyperbolic trajectory non-autonomous system fast computing method manifold 

分 类 号：O186.11[理学—数学] N93[理学—基础数学]