CONTROL OF THE CHAOTIC DRIVEN PENDULUM

被引:28
作者
BAKER, GL
机构
关键词
D O I
10.1119/1.17808
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
A method of controlling chaos (due to Ott, Grebogi, and Yorke) is illustrated with a simulated chaotic pendulum. The method consists of stabilizing a previously unstable periodic orbit through a feedback mechanism that periodically adjusts the damping parameter of the pendulum. The presentation is pedagogical and describes the method in more detail than is typical of the research literature on controlling chaotic systems. (C) 1995 American Association of Physics Teachers.
引用
收藏
页码:832 / 838
页数:7
相关论文
共 19 条
  • [1] BAKER GL, 1990, CHAOTIC DYNAMICS INT, pCH3
  • [2] DRIVEN PENDULUM FOR STUDYING CHAOS
    BLACKBURN, JA
    VIK, S
    WU, BR
    SMITH, HJT
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 1989, 60 (03) : 422 - 426
  • [3] CHEN C, 1968, ELEMENTS CONTROL SYS
  • [4] CHAOTIC STATES AND ROUTES TO CHAOS IN THE FORCED PENDULUM
    DHUMIERES, D
    BEASLEY, MR
    HUBERMAN, BA
    LIBCHABER, A
    [J]. PHYSICAL REVIEW A, 1982, 26 (06): : 3483 - 3496
  • [5] EXPERIMENTAL CONTROL OF CHAOS
    DITTO, WL
    RAUSEO, SN
    SPANO, ML
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (26) : 3211 - 3214
  • [6] DITTO WL, 1993, SCI AM AUG, P78
  • [7] DUGAS R, 1958, MECHANICS 17TH CENTU, P76
  • [8] TRACKING UNSTABLE STEADY-STATES - EXTENDING THE STABILITY REGIME OF A MULTIMODE LASER SYSTEM
    GILLS, Z
    IWATA, C
    ROY, R
    SCHWARTZ, IB
    TRIANDAF, I
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (22) : 3169 - 3172
  • [9] Goldstein H., 1980, CLASSICAL MECH, V2nd ed
  • [10] FRACTAL BASIN BOUNDARIES AND INTERMITTENCY IN THE DRIVEN DAMPED PENDULUM
    GWINN, EG
    WESTERVELT, RM
    [J]. PHYSICAL REVIEW A, 1986, 33 (06): : 4143 - 4155