Inferring chaotic dynamics from time-series: On which length scale determinism becomes visible

被引：38
|
作者：
Olbrich, E
Kantz, H
机构：
[1] Max-Planck-Inst. Physik Komplexer S., D-01187 Dresden
来源：
PHYSICS LETTERS A | 1997年 / 232卷 / 1-2期
关键词：
nonlinear time series analysis; correlation dimension; entropy;
D O I：
10.1016/S0375-9601(97)00351-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
On large scales, a chaotic deterministic signal is indistinguishable from a random process. Determinism becomes visible only below a critical length scale. We analyse the dependence of this scale on the entropy of the signal and the minimal embedding dimension for state space reconstruction. The problem of the optimal choice of the delay time for how data can also be discussed in this framework. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：63 / 69
页数：7
相关论文
共 50 条
  • [1] SYMBOLIC DYNAMICS FROM CHAOTIC TIME-SERIES
    DESTEXHE, A
    NICOLIS, G
    NICOLIS, C
    [J]. MEASURES OF COMPLEXITY AND CHAOS, 1989, 208 : 339 - 343
  • [2] Inferring the dynamics of a spatial epidemic from time-series data
    Filipe, JAN
    Otten, W
    Gibson, GJ
    Gilligan, CA
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2004, 66 (02) : 373 - 391
  • [3] Inferring the dynamics of a spatial epidemic from time-series data
    J. A. N. Filipe
    W. Otten
    G. J. Gibson
    C. A. Gilligan
    [J]. Bulletin of Mathematical Biology, 2004, 66 : 373 - 391
  • [4] Inferring groundwater system dynamics from hydrological time-series data
    Doglioni, Angelo
    Mancarella, Davide
    Simeone, Vincenzo
    Giustolisi, Orazio
    [J]. HYDROLOGICAL SCIENCES JOURNAL, 2010, 55 (04) : 593 - 608
  • [5] REMARK ON METRIC ANALYSIS OF RECONSTRUCTED DYNAMICS FROM CHAOTIC TIME-SERIES
    WU, ZB
    [J]. PHYSICA D, 1995, 85 (04): : 485 - 495
  • [6] DynaPho: a web platform for inferring the dynamics of time-series phosphoproteomics
    Hsu, Chia-Lang
    Wang, Jian-Kai
    Lu, Pei-Chun
    Huang, Hsuan-Cheng
    Juan, Hsueh-Fen
    [J]. BIOINFORMATICS, 2017, 33 (22) : 3664 - 3666
  • [7] Inferring Functional Connectivity From Time-Series of Events in Large Scale Network Deployments
    Messager, Antoine
    Parisis, George
    Kiss, Istvan Z.
    Harper, Robert
    Tee, Phil
    Berthouze, Luc
    [J]. IEEE TRANSACTIONS ON NETWORK AND SERVICE MANAGEMENT, 2019, 16 (03): : 857 - 870
  • [8] Inferring Epistasis from Genetic Time-series Data
    Sohail, Muhammad Saqib
    Louie, Raymond H. Y.
    Hong, Zhenchen
    Barton, John P.
    McKay, Matthew R.
    [J]. MOLECULAR BIOLOGY AND EVOLUTION, 2022, 39 (10)
  • [9] Detection of chaotic determinism in time series from randomly forced maps
    Chon, KH
    Kanters, JK
    Cohen, RJ
    HolsteinRathlou, NH
    [J]. PHYSICA D, 1997, 99 (04): : 471 - 486
  • [10] MEASUREMENT OF THE LYAPUNOV SPECTRUM FROM A CHAOTIC TIME-SERIES
    SANO, M
    SAWADA, Y
    [J]. PHYSICAL REVIEW LETTERS, 1985, 55 (10) : 1082 - 1085
12345