Detecting unstable periodic orbits in Chen's chaotic attractor

被引：35
|
作者：
Yu, XH [1 ]
Xia, Y [1 ]
机构：
[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 08期
关键词：
D O I：
10.1142/S0218127400001250
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This letter further explores the newly discovered Chen's chaotic attractor by means of detecting its unstable periodic orbits. An effective and simple computational detection algorithm based on the sliding mode concept is proposed and used for finding these orbits.
引用
收藏
页码：1987 / 1991
页数：5
相关论文
共 50 条
  • [41] Systematic computation of the least unstable periodic orbits in chaotic attractors
    Phys Rev Lett, 20 (4349):
  • [42] Estimating generating partitions of chaotic systems by unstable periodic orbits
    Davidchack, Ruslan L.
    Lai, Ying-Cheng
    Bollt, Erik M.
    Dhamala, Mukeshwar
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (02): : 1353 - 1356
  • [43] Unstable periodic orbits and the natural measure of nonhyperbolic chaotic saddles
    Dhamala, M
    Lai, YC
    PHYSICAL REVIEW E, 1999, 60 (05): : 6176 - 6179
  • [44] Stabilizing unstable periodic orbits of chaotic systems with unknown parameters
    Tian, YP
    Yu, XH
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (03): : 611 - 620
  • [45] Unstable periodic orbits embedded in a chaotic economic dynamics model
    Ishiyama, K
    Saiki, Y
    APPLIED ECONOMICS LETTERS, 2005, 12 (12) : 749 - 753
  • [46] UNSTABLE PERIODIC-ORBITS AND THE DIMENSIONS OF MULTIFRACTAL CHAOTIC ATTRACTORS
    GREBOGI, C
    OTT, E
    YORKE, JA
    PHYSICAL REVIEW A, 1988, 37 (05): : 1711 - 1724
  • [47] Approximating chaotic time series through unstable periodic orbits
    Carroll, TL
    PHYSICAL REVIEW E, 1999, 59 (02): : 1615 - 1621
  • [48] Estimating generating partitions of chaotic systems by unstable periodic orbits
    Davidchack, RL
    Lai, YC
    Bollt, EM
    Dhamala, M
    PHYSICAL REVIEW E, 2000, 61 (02): : 1353 - 1356
  • [49] Characterization of the natural measure by unstable periodic orbits in chaotic attractors
    Lai, YC
    Nagai, Y
    Grebogi, C
    PHYSICAL REVIEW LETTERS, 1997, 79 (04) : 649 - 652
  • [50] Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits
    Lasagna, Davide
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2018, 17 (01): : 547 - 580
12345