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Estimating parameters of a nonlinear dynamical system.

Authors :
Amritkar RE
Source :
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2009 Oct; Vol. 80 (4 Pt 2), pp. 047202. Date of Electronic Publication: 2009 Oct 16.
Publication Year :
2009

Abstract

A method based on a modified Newton-Raphson scheme is presented to estimate parameters of a nonlinear dynamical system from the time series data of the variables. The method removes some of the problems associated with the standard synchronization based methods. An important achievement of this method is that it is possible to determine the exact form of dynamical equations for systems with quadratic nonlinearity.

Details

Language :
English
ISSN :
1550-2376
Volume :
80
Issue :
4 Pt 2
Database :
MEDLINE
Journal :
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :
Academic Journal
Accession number :
19905485
Full Text :
https://doi.org/10.1103/PhysRevE.80.047202