ESTIMATION OF LYAPUNOV EXPONENTS FROM TIME-SERIES - THE STOCHASTIC CASE

被引:54
|
作者
DAMMIG, M
MITSCHKE, F
机构
[1] Institut für Quantenoptik, Universität Hannover, W-3000 Hannover 1
关键词
D O I
10.1016/0375-9601(93)90865-W
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Direct estimation of the largest Lyapunov exponent from deterministically chaotic data is well established. From stochastic data a finite, positive value is obtained as well; we show how it is determined by spectral properties of the signal and by computational parameters. Distinction of chaos versus noise is discussed.
引用
收藏
页码:385 / 394
页数:10
相关论文
共 50 条
  • [41] On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping—a case study
    Caixia Yang
    Qiong Wu
    Nonlinear Dynamics, 2010, 59 : 239 - 257
  • [42] COMPUTING THE LYAPUNOV SPECTRUM OF A DYNAMIC SYSTEM FROM AN OBSERVED TIME-SERIES
    BROWN, R
    BRYANT, P
    ABARBANEL, HDI
    PHYSICAL REVIEW A, 1991, 43 (06): : 2787 - 2806
  • [43] Lyapunov exponents of time series in finite amplitude electro convection
    Chicón, R
    Pérez, AT
    Castellanos, A
    2001 ANNUAL REPORT CONFERENCE ON ELECTRICAL INSULATION AND DIELECTRIC PHENOMENA, 2001, : 520 - 523
  • [44] Characterizing weak chaos using time series of Lyapunov exponents
    da Silva, R. M.
    Manchein, C.
    Beims, M. W.
    Altmann, E. G.
    PHYSICAL REVIEW E, 2015, 91 (06):
  • [45] Positive Lyapunov exponents calculated from time series of strange nonchaotic-attractors
    Shuai, JW
    Lian, J
    Hahn, PJ
    Durand, DM
    PHYSICAL REVIEW E, 2001, 64 (02):
  • [46] Dimensions and Lyapunov exponents from exchange rate series
    Bask, M
    CHAOS SOLITONS & FRACTALS, 1996, 7 (12) : 2199 - 2214
  • [47] TIME-SERIES AND STOCHASTIC-MODELS
    HANNAN, EJ
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1986, 86 : 1 - 36
  • [48] STOCHASTIC MODELING OF RIVERFLOW TIME-SERIES
    LAWRANCE, AJ
    KOTTEGODA, NT
    JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1977, 140 : 1 - 47
  • [49] STOCHASTIC SIMULATION OF TIME-SERIES COMPONENT
    HUOT, G
    ECONOMIE APPLIQUEE, 1979, 32 (01): : 95 - 106
  • [50] LYAPUNOV EXPONENTS IN STOCHASTIC STRUCTURAL DYNAMICS
    ARIARATNAM, ST
    XIE, WC
    LECTURE NOTES IN MATHEMATICS, 1991, 1486 : 271 - 291