Published July 4, 2005 | Version v1
Journal article

Estimation of system parameters in discrete dynamical systems from time series

  • 1. Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620 024 (India)

Description

We propose a simple method to estimate the parameters involved in discrete dynamical systems from time series. The method is based on the concept of controlling chaos by constant feedback. The major advantages of the method are that it needs a minimal number of time series data (either vector or scalar) and is applicable to dynamical systems of any dimension. The method also works extremely well even in the presence of noise in the time series. The method is specifically illustrated by means of logistic and Henon maps

Additional details

Identifiers

DOI
10.1016/j.physleta.2005.05.044;
arXiv
arXiv:nlin/0403058v1;
PII
S0375-9601(05)00754-1;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
342
Journal Issue
1-2
Journal Page Range
p. 134-139
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37036852
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; FEEDBACK; MAPS; NOISE; SCALARS; TIME-SERIES ANALYSIS; VECTORS
Descriptors DEC
MATHEMATICS; STATISTICS; TENSORS

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.