STABILIZATION OF UNSTABLE PERIODIC AND APERIODIC ORBITS OF CHAOTIC SYSTEMS BY SELF-CONTROLLING FEEDBACK

被引：0
|
作者：
PYRAGAS, K [1 ]
机构：
[1] UNIV TUBINGEN,INST PHYS,W-7400 TUBINGEN 1,GERMANY
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1993年 / 48卷 / 5-6期
关键词：
D O I：
暂无
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The methods of stabilization of unstable periodic and aperiodic orbits of a strange attractor with the help of a small time-continuous perturbation are discussed. The perturbation is applied to the system in such a way that the desired periopdic or aperiodic orbits remain unperturbed. An experimental application of the methods can be carried out by a purely analogous technique without use of any computer.
引用
收藏
页码：629 / 632
页数：4
相关论文
共 50 条
  • [31] Efficient algorithm for detecting unstable periodic orbits in chaotic systems
    Davidchack, RL
    Lai, YC
    [J]. PHYSICAL REVIEW E, 1999, 60 (05): : 6172 - 6175
  • [32] Stabilizing unstable periodic orbits of chaotic systems with unknown parameters
    Tian, YP
    Yu, XH
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (03): : 611 - 620
  • [33] Estimating generating partitions of chaotic systems by unstable periodic orbits
    Davidchack, RL
    Lai, YC
    Bollt, EM
    Dhamala, M
    [J]. PHYSICAL REVIEW E, 2000, 61 (02): : 1353 - 1356
  • [34] Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits
    Lasagna, Davide
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2018, 17 (01): : 547 - 580
  • [35] Manifold structures of unstable periodic orbits and the appearance of periodic windows in chaotic systems
    Kobayashi, Miki U.
    Saiki, Yoshitaka
    [J]. PHYSICAL REVIEW E, 2014, 89 (02):
  • [36] Controlling chaos for nonautonomous systems by detecting unstable periodic orbits
    Hsiao, YC
    Tung, PC
    [J]. CHAOS SOLITONS & FRACTALS, 2002, 13 (05) : 1043 - 1051
  • [37] Spatiotemporal distributions of unstable periodic orbits in noisy coupled chaotic systems
    Dolan, K
    Witt, A
    Kurths, J
    Moss, F
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (09): : 2673 - 2680
  • [38] Stabilizing unstable periodic orbits of chaotic systems via an optimal principle
    Tian, YP
    Yu, XH
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2000, 337 (06): : 771 - 779
  • [39] Chaos in driven Alfven systems: unstable periodic orbits and chaotic saddles
    Chian, A. C. -L.
    Santana, W. M.
    Rempel, E. L.
    Borotto, F. A.
    Hada, T.
    Kamide, Y.
    [J]. NONLINEAR PROCESSES IN GEOPHYSICS, 2007, 14 (01) : 17 - 29
  • [40] Selective stabilisation of very long unstable periodic orbits in chaotic systems
    During, A
    Behn, U
    [J]. PHYSICS LETTERS A, 1997, 230 (3-4) : 177 - 182
12345