Construction of symbolic dynamics from experimental time series

被引：102
|
作者：
Mischaikow, K [1 ]
Mrozek, M
Reiss, J
Szymczak, A
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Uniwersytet Jagiellonski, Inst Informat, PL-30072 Krakow, Poland
[3] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA
来源：
PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 06期
关键词：
D O I：
10.1103/PhysRevLett.82.1144
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Symbolic dynamics play a central role in the description of the evolution of nonlinear systems. Yet there are few methods for determining symbolic dynamics of chaotic data. Using data obtained from a magnetoelastic ribbon experiment we show how a topological approach that allows for experimental error and bounded noise can be used to obtain a description of the dynamics in terms of subshift dynamics on a finite set of symbols. [S0031-9007(99)08415-X].
引用
收藏
页码：1144 / 1147
页数：4
相关论文
共 50 条
  • [1] SYMBOLIC DYNAMICS FROM CHAOTIC TIME-SERIES
    DESTEXHE, A
    NICOLIS, G
    NICOLIS, C
    MEASURES OF COMPLEXITY AND CHAOS, 1989, 208 : 339 - 343
  • [2] SYMBOLIC DYNAMICS FROM BIOLOGICAL TIME-SERIES
    DESTEXHE, A
    PHYSICS LETTERS A, 1990, 143 (08) : 373 - 378
  • [3] Symbolic dynamics and complexity in a physiological time series
    Zebrowski, JJ
    Poplawska, W
    Baranowski, R
    Buchner, T
    CHAOS SOLITONS & FRACTALS, 2000, 11 (07) : 1061 - 1075
  • [4] Symbolic Time Series Analysis of Temporal Gait Dynamics
    Anees Qumar Abbasi
    Wajid Aziz Loun
    Journal of Signal Processing Systems, 2014, 74 : 417 - 422
  • [5] Symbolic Time Series Analysis of Temporal Gait Dynamics
    Abbasi, Anees Qumar
    Loun, Wajid Aziz
    JOURNAL OF SIGNAL PROCESSING SYSTEMS FOR SIGNAL IMAGE AND VIDEO TECHNOLOGY, 2014, 74 (03): : 417 - 422
  • [6] Distances of time series components by means of symbolic dynamics
    Keller, K
    Wittfeld, K
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (02): : 693 - 703
  • [7] Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach
    Zunino, L.
    Soriano, M. C.
    Rosso, O. A.
    PHYSICAL REVIEW E, 2012, 86 (04):
  • [8] Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series
    Bollt, EM
    Stanford, T
    Lai, YC
    Zyczkowski, K
    PHYSICAL REVIEW LETTERS, 2000, 85 (16) : 3524 - 3527
  • [9] Cluster Space of Time Series: Generalized Characteristics and Symbolic Dynamics
    Ulyanov, Mikhail Vasilyevich
    2014 INTERNATIONAL CONFERENCE ON COMPUTER TECHNOLOGIES IN PHYSICAL AND ENGINEERING APPLICATIONS (ICCTPEA), 2014, : 193 - 194
  • [10] Symbolic dynamics analysis of chaotic time series with a driven frequency
    Wu, ZB
    PHYSICAL REVIEW E, 1996, 53 (02): : 1446 - 1452
12345