Dynamical control of systems near bifurcation points using time series

被引:1
|
作者
Hong, Z
Liu, YW
Ping, HC
Wang, YH
机构
[1] CCAST, World Lab, Beijing 100080, Peoples R China
[2] Lanzhou Univ, Dept Phys, Lanzhou 730000, Peoples R China
关键词
D O I
10.1103/PhysRevE.61.348
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In order to excite experimentalists to apply a dynamical control method [Zhao et al., Phys. Rev. E 53, 299 (1996); 57, 5358 (1998)], we further introduce a simplified control law in this paper. The law provides a convenient way (in certain circumstance a necessary way) for experimentalists to achieve the system control when the exact position of the desired control objective cannot be known in advance. The validity of the control law is rigidly verified when the system nears a bifurcation point hut our numerical examples show that it can be extended to a wide parameter region practically.
引用
收藏
页码:348 / 353
页数:6
相关论文
共 50 条
  • [1] Dynamical control of systems near bifurcation points using time series
    Hong, Zhao
    Yaowen, Liu
    Huican, Ping
    Yinghai, Wang
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (01): : 348 - 353
  • [2] Dynamical properties of chemical systems near Hopf bifurcation points
    Ipsen, M
    Schreiber, I
    CHAOS, 2000, 10 (04) : 791 - 802
  • [3] Reconstructing bifurcation diagrams of dynamical systems using measured time series
    Bagarinao, E
    Pakdaman, K
    Nomura, T
    Sato, S
    METHODS OF INFORMATION IN MEDICINE, 2000, 39 (02) : 146 - 149
  • [4] Anticipatory systems near bifurcation points
    Beda, Peter B.
    COMPUTING ANTICIPATORY SYSTEMS, 2006, 839 : 610 - 617
  • [5] An algorithm for estimating fixed points of dynamical systems from time series
    Aguirre, LA
    Souza, AVP
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (11): : 2203 - 2213
  • [6] Calculation of Local Bifurcation Points in Piecewise Nonlinear Discrete-Time Dynamical Systems
    Tone, Yusuke
    Asahara, Hiroyuki
    Ito, Daisuke
    Ueta, Tetsushi
    Aihara, Kazuyuki
    Kousaka, Takuji
    ELECTRONICS AND COMMUNICATIONS IN JAPAN, 2016, 99 (03) : 22 - 30
  • [7] Nonlinear control of dynamical systems from time series
    Petrov, V
    Showalter, K
    PHYSICAL REVIEW LETTERS, 1996, 76 (18) : 3312 - 3315
  • [8] Determination of Hopf bifurcation points of high dimensional dynamical systems
    Liu, Qinghua
    Beijing Huagong Xueyuan Xuebao(Ziran Kexueban)/Journal of Beijing Institute of Chemical Technology, 1994, 21 (01):
  • [9] Time series classification of dynamical systems using deterministic learning
    Chen Sun
    Weiming Wu
    Cong Wang
    Nonlinear Dynamics, 2023, 111 : 21837 - 21859
  • [10] Time series classification of dynamical systems using deterministic learning
    Sun, Chen
    Wu, Weiming
    Wang, Cong
    NONLINEAR DYNAMICS, 2023, 111 (23) : 21837 - 21859