The generalized Henon maps: Examples for higher-dimensional chaos

被引：71
|
作者：
Richter, H [1 ]
机构：
[1] Fraunhofer Inst Producktionstech & Automatisierun, D-70569 Stuttgart, Germany
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 06期
关键词：
higher-dimensional chaos; generalized Henon maps; hyperchaos;
D O I：
10.1142/S0218127402005121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The generalized Henon maps (GHM) are discrete-time systems with given finite dimension, which show chaotic and hyperchaotic behavior for certain parameter values and initial conditions. A study of these maps is given where particularly higher-dimensional cases are considered.
引用
收藏
页码：1371 / 1384
页数：14
相关论文
共 50 条
  • [41] Higher-dimensional subshifts of finite type, factor maps and measures of maximal entropy
    Meester, R
    Steif, JE
    PACIFIC JOURNAL OF MATHEMATICS, 2001, 200 (02) : 497 - 510
  • [42] History-Preserving Bisimilarity for Higher-Dimensional Automata via Open Maps
    Legay, Uli Fahrenberg Axel
    ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2013, 298 : 165 - 178
  • [43] A generalization of Milnor's mu-invariants to higher-dimensional link maps
    Koschorke, U
    TOPOLOGY, 1997, 36 (02) : 301 - 324
  • [44] Regulators and cycle maps in higher-dimensional differential algebraic K-theory
    Bunke, Ulrich
    Tamme, Georg
    ADVANCES IN MATHEMATICS, 2015, 285 : 1853 - 1969
  • [45] Evolutionary Chaos Controller Synthesis for Stabilizing Chaotic Henon Maps
    Senkerik, Roman
    Oplatkova, Zuzana
    Zelinka, Ivan
    Davendra, Donald
    COMPLEX SYSTEMS, 2012, 20 (03): : 205 - 214
  • [46] Hyperbolic invariant sets of the real generalized Henon maps
    Zhang, Xu
    CHAOS SOLITONS & FRACTALS, 2010, 43 (1-12) : 31 - 41
  • [47] Design of Higher-Dimensional Switching Chaos Generators by Constructing a Closed Hyper-Polyhedron
    Sun, Changchun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (11):
  • [48] GENERALIZED HENON MAPS AND SMALE HORSESHOES OF NEW TYPES
    Gonchenko, Sergey
    Li, Ming-Chia
    Malkin, Mikhail
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (10): : 3029 - 3052
  • [49] Controlling chaos in higher dimensional maps with constant feedback: An analytical approach
    Wieland, C
    PHYSICAL REVIEW E, 2002, 66 (01):
  • [50] Higher-dimensional origami constructions
    Banerjee, Deveena R.
    Chari, Sara
    Salerno, Adriana
    INVOLVE, A JOURNAL OF MATHEMATICS, 2023, 16 (02): : 297 - 312
12345