Intermittent dynamical control

被引:179
作者
Zochowski, M
机构
[1] Yale Univ, Sch Med, Dept Cellular & Mol Physiol, New Haven, CT 06520 USA
[2] PAN, Ctr Fiz Teoretycznej, PL-02668 Warsaw, Poland
来源
PHYSICA D | 2000年 / 145卷 / 3-4期
基金
美国国家卫生研究院;
关键词
synchronization; intermittent control; chaotic oscillators;
D O I
10.1016/S0167-2789(00)00112-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper describes the method of synchronizing slave to the master trajectory using intermittent coupling. The information about master trajectory is limited only to the coordinates and timings of intersection points of that trajectory with the arbitrarily chosen Poincare section, making the coupling sporadic. The application of the method is first exemplified on the two identically coupled Rossler and Lorenz oscillators, and then is extended to the case when the two Rossler oscillators exhibit initially different dynamical properties (different values of the control parameters). (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:181 / 190
页数:10
相关论文
共 15 条
  • [1] CHANG SZ, 1997, PHYS REV E, V56, P1599
  • [2] CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS
    CUOMO, KM
    OPPENHEIM, AV
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (01) : 65 - 68
  • [3] CONTROLLING CHAOS USING TIME-DELAY COORDINATES
    DRESSLER, U
    NITSCHE, G
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (01) : 1 - 4
  • [4] Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems
    Kocarev, L
    Parlitz, U
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (11) : 1816 - 1819
  • [5] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
  • [6] 2
  • [7] CONTROLLING CHAOS
    OTT, E
    GREBOGI, C
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (11) : 1196 - 1199
  • [8] Encoding messages using chaotic synchronization
    Parlitz, U
    Kocarev, L
    Stojanovski, T
    Preckel, H
    [J]. PHYSICAL REVIEW E, 1996, 53 (05) : 4351 - 4361
  • [9] SYNCHRONIZATION IN CHAOTIC SYSTEMS
    PECORA, LM
    CARROLL, TL
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (08) : 821 - 824
  • [10] From phase to lag synchronization in coupled chaotic oscillators
    Rosenblum, MG
    Pikovsky, AS
    Kurths, J
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (22) : 4193 - 4196