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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2010 Volume 6, Number 2, Pages 267–276 (Mi nd38)

This article is cited in 1 paper

Parameter estimation in dynamical systems with additive noise

V. S. Malyaev, T. E. Vadivasova

Saratov State University named after N. G. Chernyshevsky, Physics Department

Abstract: In the present paper possibilities of parameters estimation are considered in dynamical systems (DS) with additive noise. Simple and effective algorithms, optimal parameter values of numeric simulation and data filtration methods are proposed that enable one to find the controlling parameter value of a noisy DS with a high accuracy. Different DS are studied, and the accuracy of parameter estimation is examined for various dynamical modes and for different noise intensities.

Keywords: dynamical system, fluctuations, noise, parameter estimation, bifurcations, chaos.

UDC: 537.86/.87:530.182

MSC: 70Kxx, 39Axx

Received: 11.03.2010



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