INVESTIGATION OF DIFFERENCE EQUATIONS WITH A RATIONAL RIGHT-HAND SIDES-Reference-Cited by-同舟云学术

INVESTIGATION OF DIFFERENCE EQUATIONS WITH A RATIONAL RIGHT-HAND SIDES

Published:2020 Issue:2 Volume:8 Page:
ISSN:2309-4001
Container-title:Bukovinian Mathematical Journal
language:
Short-container-title:BMJ

Author:

Klevchuk I.

Abstract

The aim of the present article is to investigate of some properties of solutions of nonli- near diﬀerence equations. A period doubling bifurcation in a discrete dynamical system leads to the appearance of deterministic chaos. We use permutable rational functions for study of some classes of one-dimensional mappings. Also n-dimensional generalizations of permutable polynomials may be obtained. We investigate polynomial and rational mappings with invariant measure and construct equivalent piecewise linear mappings. These mappings have countably many cycles. We applied the methods of symbolic dynamics to the theory of unimodal mappi- ngs. We use whole p-adic numbers for study the invariant set of some mapping in the theory of universal properties of one-parameter families. Feigenbaum constants play an important role in this theory.

Publisher

Yuriy Fedkovych Chernivtsi National University

Subject

Computer Science Applications,History,Education

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