Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Application of Interval Arithmetic Methods to the Problem of the Symbolic Image Construction

Author(s):

N. Ampilova

Russia, 198504, Petergof, Universitetski pr.28
Saint-Peterburg State University
Faculty of Mathematics and Mechanics

n.ampilova@spbu.ru

S. Terentev

Russia, 198504, Petergof, Universitetski pr.28
S.Peterburg State University
Faculty of Mathematics and Mechanics

waterq@yandex.ru

Abstract:

Set oriented methods of numerical investigation of dynamical systems base on the phase space covering by boxes. Such a box may be interpreted as an interval vector and the interval arithmetic tecnique may be applied. The algorithm of the construction of symbolic image for discrete dynamical systems is described. The details concerning the implementation are discussed

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