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

Proceedings of the American Mathematical Society

Volumn 127, Issue 6, 1999, Pages 1877-1883

  Cao, Yongluo ^a  

^a SOOCHOW UNIVERSITY   (China)

Author keywords

H non like strange attractor; Transversal homoclinic point

Indexed keywords

EID: 0007581244     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04787-5     Document Type: Article

References (6)

1. M.Benedicks & L.Carleson, The dynamics of the Hénon map, Ann. Math. 133 (1991), 73-109. MR 92d:58116
2. M.Benedicks & L.S.Young, Sinai-Bowen-Ruelle measures for certain Hénon maps, Inventions Math. 112 (1993), 541-576. MR 94e:58074
3. M.Hénon, A two-dimensional mapping with a strange attractor, Commun. Math. Phys 50 (1976), 69-77. MR 54:10917
4. L.Mora & M.Viana, Abundance of strange attractors, Acta .Math. 171 (1993), 1-71. MR 94k:58089
5. J.Palis &: F.Takens, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Press, 1993. MR 94h:58129
6. M.Viana, Strange attractors in higher dimensions, Bull.Braz.Math.Soc. 24 (1993), 13-62. MR 94k:58093