Discussion on the geometric structure of strange attractor


Autoria(s): Liu ZR; Cao YL
Data(s)

1991

Resumo

We discuss the transversal heteroclinic cycle formed by hyperbolic periodic pointes of diffeomorphism on the differential manifold. We point out that every possible kind of transversal heteroclinic cycle has the Smalehorse property and the unstable manifolds of hyperbolic periodic points have the closure relation mutually. Therefore the strange attractor may be the closure of unstable manifolds of a countable number of hyperbolic periodic points. The Henon mapping is used as an example to show that the conclusion is reasonable.

Identificador

http://dspace.imech.ac.cn/handle/311007/39364

http://www.irgrid.ac.cn/handle/1471x/5028

Idioma(s)

英语

Fonte

Chinese Physics Letters.1991,8(10):503-506

Tipo

期刊论文