The computation of distinguished hyperbolic trajectory in vector field

Jia Meng and Yang Tianming

Abstract

The computation of distinguished hyperbolic trajectory in vector field is always a hard problem. One reason is because the concept of instantaneous stagnation points trajectory (ISPT) and that of distinguished hyperbolic trajectory(DHT) are easy to be confused. Another reason is that it is hard to keep high computing speed and computing accuracy at same time. The paper first show the relationship between ISPT and DHT, then it presents to approaches to compute DHT, the advanced approach and the fast computing method.