REMARKS ON THE SYMBOLIC DYNAMICS FOR THE HENON MAP

被引：20
|
作者：
HANSEN, KT [1 ]
机构：
[1] UNIV OSLO,DEPT PHYS,N-0316 OSLO,NORWAY
来源：
PHYSICS LETTERS A | 1992年 / 165卷 / 02期
关键词：
D O I：
10.1016/0375-9601(92)90083-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We exhibit an unstable periodic orbit in the Henon map which, under a smooth change of parameters along a loop in parameter space, changes into another orbit with different symbolic dynamics. We show how this is connected with the existence of homoclinic tangencies and discuss the implications of this phenomenon for current proposals for the Henon map symbolic dynamics.
引用
收藏
页码：100 / 104
页数：5
相关论文
共 50 条
  • [1] ON THE SYMBOLIC DYNAMICS OF THE HENON MAP
    GRASSBERGER, P
    KANTZ, H
    MOENIG, U
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (24): : 5217 - 5230
  • [2] SYMBOLIC DYNAMICS AND TOPOLOGICAL-ENTROPY OF HENON MAP
    LIU, LW
    YING, YJ
    CHEN, SG
    HE, XT
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1991, 15 (01) : 1 - 8
  • [3] On the symbolic dynamics of the Henon map defined by a numerical method
    [J]. Ying, Yangjun, 1600, China Int Book Trading Corp, Beijing, China (43):
  • [4] UNSTABLE PERIODIC-ORBITS AND THE SYMBOLIC DYNAMICS OF THE COMPLEX HENON MAP
    BIHAM, O
    WENZEL, W
    [J]. PHYSICAL REVIEW A, 1990, 42 (08): : 4639 - 4646
  • [5] THE DYNAMICS OF THE HENON MAP
    BENEDICKS, M
    CARLESON, L
    [J]. ANNALS OF MATHEMATICS, 1991, 133 (01) : 73 - 169
  • [6] A New Interpretation of the Symbolic Codes for the Henon Map
    Yamaguchi, Yoshihiro
    Tanikawa, Kiyotaka
    [J]. PROGRESS OF THEORETICAL PHYSICS, 2009, 122 (03): : 569 - 609
  • [7] SYMBOLIC ANALYSIS OF THE HENON MAP AT A = 1.4 AND B = 0.3
    ZHAO, H
    ZHENG, WM
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1993, 19 (01) : 21 - 26
  • [8] Gradient Control of Henon Map Dynamics
    Guzenko, P. Y.
    Fradkov, A. L.
    [J]. International Journal of Bifurcations and Chaos in Applied Sciences and Engineering, 7 (03):
  • [9] Complex Dynamics in Generalized Henon Map
    Cai, Meixiang
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [10] Gradient control of Henon map dynamics
    Guzenko, PY
    Fradkov, AL
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03): : 701 - 705
12345