Gradient control of Henon map dynamics

被引：4
|
作者：
Guzenko, PY
Fradkov, AL
机构：
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 03期
关键词：
D O I：
10.1142/S0218127497000492
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to gradient control of the Henon map - a simple two-dimensional discrete system with complex dynamics. Some gradient-based algorithms are suggested for stabilizing fixed point and model-reference control. Some sufficient system stability conditions are obtained and discussed. Simulation results demonstrating the performance of the suggested algorithms also included for the purpose of illustration.
引用
收藏
页码：701 / 705
页数：5
相关论文
共 50 条
  • [41] GEOMETRIC AND ARITHMETIC PROPERTIES OF THE HENON MAP
    SILVERMAN, JH
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1994, 215 (02) : 237 - 250
  • [42] ANALYSIS OF THE STABILITY DOMAIN FOR THE HENON MAP
    GIOVANNOZZI, M
    [J]. PHYSICS LETTERS A, 1993, 182 (2-3) : 255 - 260
  • [43] HOMOCLINIC AND HETEROCLINIC POINTS IN THE HENON MAP
    GOMEZ, G
    SIMO, C
    [J]. LECTURE NOTES IN PHYSICS, 1983, 179 : 245 - 247
  • [44] Chaotic attractor of the controlled Henon map
    Li, CP
    Xia, XH
    Chen, GR
    [J]. 2004 IEEE AFRICON: 7TH AFRICON CONFERENCE IN AFRICA, VOLS 1 AND 2: TECHNOLOGY INNOVATION, 2004, : 485 - 489
  • [45] Hyperchaotic based-on henon map
    Wu, Pianhui
    Zhao, Weihua
    Zhao, Zhengxu
    [J]. Journal of Information and Computational Science, 2014, 11 (12): : 4055 - 4063
  • [46] Backbones in the parameter plane of the Henon map
    Falcolini, Corrado
    Tedeschini-Lalli, Laura
    [J]. CHAOS, 2016, 26 (01)
  • [47] Chaotic dynamics of the Henon map and neuronal input-output: A comparison with neurophysiological data
    Guisande, Natali
    di Nunzio, Monserrat Pallares
    Martinez, Nataniel
    Rosso, Osvaldo A.
    Montani, Fernando
    [J]. CHAOS, 2023, 33 (04)
  • [48] Transversal homoclinic points of the Henon map
    Kirchgraber, Urs
    Stoffer, Daniel
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (Suppl 5) : S187 - S204
  • [49] A method of the dissipative Henon map renormalization
    Bibik, Yu. V.
    Sarancha, D. A.
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (11) : 1793 - 1807
  • [50] GENERATING PARTITIONS FOR THE DISSIPATIVE HENON MAP
    GRASSBERGER, P
    KANTZ, H
    [J]. PHYSICS LETTERS A, 1985, 113 (05) : 235 - 238
12345