Shadowing and prediction of dynamical systems

Authors:
D. W. Pearson
Affiliations:
University of Saint Etienne, I.U.T. de Roanne 20, avenue de Paris, 42334 Roanne, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 2
Cited 0

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Abstract

In this paper, we illustrate how the notion of shadowing can be applied to the prediction problem for dynamical systems. We start with the assumption that we observer a sequence of states from a dynamical system and that we have identified a reasonably accurate model of the system. Our objective is to use this model in a type of observer design where the error between predicted and real values is fed into the observer in order to correct the prediction and increase the shadowing length.