NOISE-REDUCTION - FINDING THE SIMPLEST DYNAMIC SYSTEM CONSISTENT WITH THE DATA

被引:147
作者
KOSTELICH, EJ
YORKE, JA
机构
[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
[2] UNIV TEXAS,CTR NONLINEAR DYNAM,DEPT PHYS,AUSTIN,TX 78712
[3] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
来源
PHYSICA D | 1990年 / 41卷 / 02期
关键词
D O I
10.1016/0167-2789(90)90121-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A novel method is described for noise reduction in chaotic experimental data whose dynamics are low dimensional. In addition, we show how the approach allows experimentalists to use many of the same techniques that have been essential for the analysis of nonlinear systems of ordinary differential equations and difference equations. © 1990.
引用
收藏
页码:183 / 196
页数:14
相关论文
共 42 条
  • [1] ABARBANEL HD, 1989, PREDICTION SYSTEM ID
  • [2] EVOLUTION OF TURBULENCE FROM RAYLEIGH-BENARD INSTABILITY
    AHLERS, G
    BEHRINGER, RP
    [J]. PHYSICAL REVIEW LETTERS, 1978, 40 (11) : 712 - 716
  • [3] DIMENSION INCREASE IN FILTERED CHAOTIC SIGNALS
    BADII, R
    BROGGI, G
    DERIGHETTI, B
    RAVANI, M
    CILIBERTO, S
    POLITI, A
    RUBIO, MA
    [J]. PHYSICAL REVIEW LETTERS, 1988, 60 (11) : 979 - 982
  • [4] HEAT-TRANSPORT AND TEMPORAL EVOLUTION OF FLUID-FLOW NEAR THE RAYLEIGH-BENARD INSTABILITY IN CYLINDRICAL CONTAINERS
    BEHRINGER, RP
    AHLERS, G
    [J]. JOURNAL OF FLUID MECHANICS, 1982, 125 (DEC) : 219 - 258
  • [5] Bozic S. M., 1979, DIGITAL KALMAN FILTE
  • [6] STRANGE ATTRACTORS IN WEAKLY TURBULENT COUETTE-TAYLOR FLOW
    BRANDSTATER, A
    SWINNEY, HL
    [J]. PHYSICAL REVIEW A, 1987, 35 (05): : 2207 - 2220
  • [7] CASDAGLI M, 1987, NONLINEAR PREDICTION
  • [8] COFFMAN KC, 1987, THESIS U TEXAS AUSTI
  • [9] Crutchfield J. P., 1987, Complex Systems, V1, P417
  • [10] DONGARRA JJ, 1979, LIN PACK USERS GUIDE