Mechanism of time-delayed feedback control

被引:264
作者
Just, W
Bernard, T
Ostheimer, M
Reibold, E
Benner, H
机构
[1] Institut für Festkörperphysik, Technische Hochschule Darmstadt, Darmstadt, D-64289
关键词
D O I
10.1103/PhysRevLett.78.203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Pyragas method for controlling chaos is investigated in detail from the experimental as well as theoretical point of view. We show by an analytical stability analysis that the revolution around an unstable periodic orbit governs the success of the control scheme. Our predictions concerning the transient behavior of the control signal are confirmed by numerical simulations and an electronic circuit experiment.
引用
收藏
页码:203 / 206
页数:4
相关论文
共 15 条
  • [1] BERNARD T, 1996, NONLINEAR MICROWAVE, P373
  • [2] Stability of periodic orbits controlled by time-delay feedback
    Bleich, ME
    Socolar, JES
    [J]. PHYSICS LETTERS A, 1996, 210 (1-2) : 87 - 94
  • [3] Carroll Thomas L., 1995, Nonlinear dynamics in circuits
  • [4] EXPERIMENTAL CONTROL OF CHAOS
    DITTO, WL
    RAUSEO, SN
    SPANO, ML
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (26) : 3211 - 3214
  • [5] GUCKENHEIMER J, 1986, NONLINEAR OSCILLATIO, P29
  • [6] HALE J, 1977, THEORY FUNCTIONAL DI, P195
  • [7] LOCAL-CONTROL OF CHAOTIC MOTION
    HUBINGER, B
    DOERNER, R
    MARTIENSSEN, W
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1993, 90 (01): : 103 - 106
  • [8] STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR
    HUNT, ER
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (15) : 1953 - 1955
  • [9] KITTEL A, 1994, Z NATURFORSCH A, V49, P843
  • [10] CONTROLLING CHAOS
    OTT, E
    GREBOGI, C
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (11) : 1196 - 1199