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

被引:3
|
作者
Cao, YL [1 ]
机构
[1] Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China
关键词
Henon-like strange attractor; transversal homoclinic point;
D O I
10.1090/S0002-9939-99-04787-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the codimension-1 Henon-like strange attractors Lambda. We prove that the transversal homoclinic points are dense in Lambda, and that hyperbolic periodic points are dense in Lambda. Moreover the hyperbolic periodic points that are heteroclinically related to the primary fixed point (transversal intersection of stable and unstable manifolds) are dense in Lambda.
引用
收藏
页码:1877 / 1883
页数:7
相关论文
共 20 条
  • [1] The density of the transversal homoclinic points in the Henon-like strange attractors
    Cao, YL
    Kiriki, S
    CHAOS SOLITONS & FRACTALS, 2002, 13 (04) : 665 - 671
  • [2] On the approximation of Henon-like attractors by homoclinic tangencies
    Ures, R
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1995, 15 : 1223 - 1229
  • [3] On a Homoclinic Origin of Henon-like Maps
    Gonchenko, S. V.
    Gonchenko, V. S.
    Shilnikov, L. P.
    REGULAR & CHAOTIC DYNAMICS, 2010, 15 (4-5): : 462 - 481
  • [4] Transversal homoclinic points of the Henon map
    Kirchgraber, Urs
    Stoffer, Daniel
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (Suppl 5) : S187 - S204
  • [5] On the basin problem for Henon-like attractors
    Takahasi, Hiroki
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2006, 46 (02): : 303 - 348
  • [6] Solution of the basin problem for Henon-like attractors
    Benedicks, M
    Viana, M
    INVENTIONES MATHEMATICAE, 2001, 143 (02) : 375 - 434
  • [7] Fractal parameters for the study of Henon-like attractors
    Hansen, R
    Losada, MP
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (04): : 1329 - 1346
  • [8] Attractors and Commutation Sets in Henon-like Diffeomorphisms
    Selmani, Wissame
    Idjellit, Ilham
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (04): : 9 - 21
  • [9] Basin problem for Henon-like attractors in arbitrary dimensions
    Horita, V
    Muniz, N
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (02) : 481 - 504
  • [10] Examples of Lorenz-like Attractors in Henon-like Maps
    Gonchenko, S. V.
    Gonchenko, A. S.
    Ovsyannikov, I. I.
    Turaev, D. V.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2013, 8 (05) : 48 - 70