Recovering parameters of the Ikeda equation from noisy time series

被引：8

作者：

Ponomarenko, VI ^{[1
]}

Prokhorov, MD ^{[1
]}

机构：

[1] Russian Acad Sci, Saratov Branch, Inst Radio Engn & Elect, Saratov, Russia

来源：

TECHNICAL PHYSICS LETTERS | 2005年 / 31卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/1.1894449

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We describe a procedure for determining all parameters of the Ikeda delay-differential equation, modeling the dynamics of a passive optical resonator, from time series of the dynamical variable. It is demonstrated that the proposed procedure can be used for recovery of the nonlinear function and parameters of the Ikeda equation even in the presence of a high noise level. (C) 2005 Pleiades Publishing, Inc.

引用

页码：252 / 254

页数：3

共 50 条

[21] Detection of dynamical systems from noisy multivariate time series
Asai, Yoshiyuki
Villa, Alessandro E. P.
SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS V, 2008, 59 : 3 - +
[22] LYAPUNOV-EXPONENT SPECTRUM FROM NOISY TIME SERIES
Yao, Tian-Liang
Liu, Hai-Feng
Xu, Jian-Liang
Li, Wei-Feng
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (06):
[23] Recovering the viewing parameters of random, translated and noisy projections of asymmetric objects
Lauren, PD
Nandhakumar, N
1996 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, PROCEEDINGS, 1996, : 885 - 890
[24] Detection of "noisy" chaos in a time series
Chon, KH
Kanters, JK
Cohen, RJ
Holstein-Rathlou, NH
METHODS OF INFORMATION IN MEDICINE, 1997, 36 (4-5) : 294 - 297
[25] Detection of patterns in noisy time series
Tingley, MA
McLean, L
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2001, 29 (02): : 217 - 237
[26] Analysis of the Recurrence of Noisy Time Series
Rusakov A.V.
Medvinsky A.V.
Nurieva N.I.
Biophysics, 2018, 63 (4) : 590 - 595
[27] Detecting smoothness in noisy time series
Cawley, R
Hsu, GH
Salvino, LW
CHAOTIC, FRACTAL, AND NONLINEAR SIGNAL PROCESSING, 1996, (375): : 55 - 67
[28] Characterization of noisy symbolic time series
Kulp, Christopher W.
Smith, Suzanne
PHYSICAL REVIEW E, 2011, 83 (02):
[29] Recovering smooth dynamics from time series with the aid of recurrence plots
Atay, FM
Altintas, Y
PHYSICAL REVIEW E, 1999, 59 (06): : 6593 - 6598
[30] Reconstructing differential equation from a time series
Petrov, V
Kurths, J
Georgiev, N
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (11): : 3307 - 3323

← 1 2 3 4 5 →