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

doi:10.1088/1674-1056/20/3/034701

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.

Keywords: Distinguished hyperbolic trajectory non-autonomous system fast computing method manifold

Received: 30 June 2010
Revised: 29 November 2010
Accepted manuscript online:

PACS:	47.20.Kg
	47.11.Bc	(Finite difference methods)

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

Cite this article:

Jia Meng(贾蒙), Fan Yang-Yu(樊养余), and Tian Wei-Jian(田维坚) A fast computing method to distinguish the hyperbolic trajectory of an non-autonomous system 2011 Chin. Phys. B 20 034701

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

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