The transversal homoclinic points are dense in the codimension-1 Henon-like strange attractors

Authors
Citation
Yl. Cao, The transversal homoclinic points are dense in the codimension-1 Henon-like strange attractors, P AM MATH S, 127(6), 1999, pp. 1877-1883
Citations number
6
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1877 - 1883
Database
ISI
SICI code
0002-9939(199906)127:6<1877:TTHPAD>2.0.ZU;2-N
Abstract
We consider the codimension-1 Henon-like strange attractors Lambda. We prov e that the transversal homoclinic points are dense in Lambda, and that hype rbolic periodic points are dense in Lambda. Moreover the hyperbolic periodi c points that are heteroclinically related to the primary fixed point (tran sversal intersection of stable and unstable manifolds) are dense in Lambda.