Estimation of System Parameters in Discrete Dynamical Systems from Time Series

Details Estimation of System Parameters in Discrete Dynamical Systems from Time Series Estimation of System Parameters in Discrete Dynamical Systems from Time Series

2004-03-31

arxiv.org/abs/nlin/0403058v1

Nonlinear Sciences

Chaotic Dynamics

4 pages

Scientific paper

10.1016/j.physleta.2005.05.044

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 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.

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