TRACKING UNSTABLE PERIODIC-ORBITS IN THE BELOUSOV-ZHABOTINSKY REACTION

被引:59
作者
PETROV, V
CROWLEY, MJ
SHOWALTER, K
机构
[1] Department of Chemistry, West Virginia University, Morgantown
关键词
D O I
10.1103/PhysRevLett.72.2955
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An adaptive control algorithm for tracking unstable periodic orbits is presented. Automatic tracking is made possible by incorporating a stability-analysis subroutine into a map-based control scheme. The method is used to trick unstable orbits in the Belousov-Zhabotinsky reaction.
引用
收藏
页码:2955 / 2958
页数:4
相关论文
共 16 条
  • [1] TRACKING UNSTABLE ORBITS IN AN EXPERIMENT
    CARROLL, TL
    TRIANDAF, I
    SCHWARTZ, I
    PECORA, L
    [J]. PHYSICAL REVIEW A, 1992, 46 (10): : 6189 - 6192
  • [2] Doedel E., 1986, AUTO SOFTWARE CONTIN
  • [3] Doedel E. J., 1981, CONGRESSUS NUMERANTI, V30, P265
  • [4] 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
  • [5] Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2
  • [6] A 3-VARIABLE MODEL OF DETERMINISTIC CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION
    GYORGYI, L
    FIELD, RJ
    [J]. NATURE, 1992, 355 (6363) : 808 - 810
  • [7] CONTROLLING CHAOS
    OTT, E
    GREBOGI, C
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (11) : 1196 - 1199
  • [8] CONTROLLING CHEMICAL CHAOS
    PENG, B
    PETROV, V
    SHOWALTER, K
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (13) : 4957 - 4959
  • [9] MIXED-MODE OSCILLATIONS IN CHEMICAL-SYSTEMS
    PETROV, V
    SCOTT, SK
    SHOWALTER, K
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (09) : 6191 - 6198
  • [10] CONTROLLING CHAOS IN THE BELOUSOV-ZHABOTINSKY REACTION
    PETROV, V
    GASPAR, V
    MASERE, J
    SHOWALTER, K
    [J]. NATURE, 1993, 361 (6409) : 240 - 243