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
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
  • [1] Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor
    Perc, M
    Marhl, M
    PHYSICAL REVIEW E, 2004, 70 (01): : 016204 - 1
  • [2] Detecting unstable periodic orbits of chaotic dynamical systems
    Schmelcher, P
    Diakonos, FK
    PHYSICAL REVIEW LETTERS, 1997, 78 (25) : 4733 - 4736
  • [4] Detecting unstable periodic orbits in chaotic experimental data
    So, P
    Ott, E
    Schiff, SJ
    Kaplan, DT
    Sauer, T
    Grebogi, C
    PHYSICAL REVIEW LETTERS, 1996, 76 (25) : 4705 - 4708
  • [5] Construction of an associative memory using unstable periodic orbits of a chaotic attractor
    Wagner, C
    Stucki, JW
    JOURNAL OF THEORETICAL BIOLOGY, 2002, 215 (03) : 375 - 384
  • [6] Efficient algorithm for detecting unstable periodic orbits in chaotic systems
    Davidchack, RL
    Lai, YC
    PHYSICAL REVIEW E, 1999, 60 (05): : 6172 - 6175
  • [7] Unstable periodic orbits in the Lorenz attractor
    Boghosian, Bruce M.
    Brown, Aaron
    Laett, Jonas
    Tang, Hui
    Fazendeiro, Luis M.
    Coveney, Peter V.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2011, 369 (1944): : 2345 - 2353
  • [8] Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm
    Bu, SL
    Wang, BH
    Jiang, PQ
    CHAOS SOLITONS & FRACTALS, 2004, 22 (01) : 237 - 241
  • [9] Detecting unstable periodic orbits in chaotic time series using synchronization
    Olyaei, Ali Azimi
    Wu, Christine
    Kinsner, Witold
    PHYSICAL REVIEW E, 2017, 96 (01)
  • [10] Detecting unstable periodic orbits from transient chaotic time series
    Dhamala, M
    Lai, YC
    Kostelich, EJ
    PHYSICAL REVIEW E, 2000, 61 (06): : 6485 - 6489