On spatial periodic orbits and spatial chaos

被引：40
|
作者：
Chen, GR [1 ]
Liu, ST
机构：
[1] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[2] Shandong Univ, Coll Sci & Engn, Inst Syst Sci, Shandong 250061, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 04期
关键词：
spatial chaos; spatial periodic orbit;
D O I：
10.1142/S0218127403006935
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper introduces an analytical method for constructing spatial periodic orbits of specified periods. This result is then extended to generating spatial chaos in the sense of Li and Yorke.
引用
收藏
页码：935 / 941
页数：7
相关论文
共 50 条
  • [31] Spreading sequences using periodic orbits of chaos for CDMA
    Umeno, K
    Kitayama, K
    ELECTRONICS LETTERS, 1999, 35 (07) : 545 - 546
  • [32] Chaos in atoms in strong fields: Periodic orbits and diffraction
    Dando, PA
    Monteiro, TS
    PHOTON AND ELECTRON COLLISIONS WITH ATOMS AND MOLECULES, 1997, : 251 - 263
  • [33] PERIODIC-ORBITS IN ARITHMETICAL CHAOS ON HYPERBOLIC SURFACES
    BOLTE, J
    NONLINEARITY, 1993, 6 (06) : 935 - 951
  • [34] Symbolic Encoding of Periodic Orbits and Chaos in the Rucklidge System
    Dong, Chengwei
    Jia, Lian
    Jie, Qi
    Li, Hantao
    COMPLEXITY, 2021, 2021
  • [35] FROM CLASSICAL PERIODIC-ORBITS TO THE QUANTIZATION OF CHAOS
    AURICH, R
    STEINER, F
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 437 (1901): : 693 - 714
  • [36] Semiclassical theory of short periodic orbits in quantum chaos
    Vergini, EG
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (25): : 4709 - 4716
  • [37] PERIODIC-ORBITS AS THE SKELETON OF CLASSICAL AND QUANTUM CHAOS
    CVITANOVIC, P
    PHYSICA D, 1991, 51 (1-3): : 138 - 151
  • [38] Entrainment control of chaos near unstable periodic orbits
    Mettin, R
    IUTAM SYMPOSIUM ON INTERACTION BETWEEN DYNAMICS AND CONTROL IN ADVANCED MECHANICAL SYSTEMS, 1997, 52 : 231 - 238
  • [39] Time-Periodic Spatial Chaos in the Complex Ginzburg-Landau Equation
    J Stat Phys, 5-6 (1165):
  • [40] Periodic Orbits and Chaos in Nonsmooth Delay Differential Equations
    Bel, Andrea
    Cobiaga, Romina
    Reartes, Walter
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (10):
12345