中国物理B ›› 2011, Vol. 20 ›› Issue (3): 34701-034701.doi: 10.1088/1674-1056/20/3/034701

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

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

贾蒙, 樊养余, 田维坚   

  1. Department of Electronics and Information, Northwestern Poly-technical University, Xi'an 710072, China
  • 收稿日期:2010-06-30 修回日期:2010-11-29 出版日期:2011-03-15 发布日期:2011-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60872159).

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

Jia Meng(贾蒙) dag , Fan Yang-Yu(樊养余), and Tian Wei-Jian(田维坚)   

  1. Department of Electronics and Information, Northwestern Poly-technical University, Xi'an 710072, China
  • Received:2010-06-30 Revised:2010-11-29 Online:2011-03-15 Published:2011-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60872159).

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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.

Abstract: 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.

Key words: Distinguished hyperbolic trajectory, non-autonomous system, fast computing method, manifold

中图分类号: 

  • 47.20.Kg
47.11.Bc (Finite difference methods)