Construction of Chaotic Dynamical System
Journal Title: Mathematical Modelling and Analysis - Year 2010, Vol 15, Issue 1
Abstract
The first-order difference equation x[i][sub]n[/sub][/i][sub]+1[/sub] = [i]f [/i](x[i][sub]n[/sub][/i]),[i] n[/i] = 0, 1, . . ., where [i]f[/i] : R → R, is referred as an one-dimensional discrete dynamical system. If function [i]f [/i]is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long-term. In this paper we consider family of chaotic mappings in symbol space [i]Σ[/i][sub]2[/sub]. We use the idea of topological semi-conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic.
Authors and Affiliations
I. Bula
Keywords
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- EP ID EP83443
- DOI 10.3846/1392-6292.2010.15.1-8
- Views 87
- Downloads 0
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