Special properties of images and corresponding signals generated by chemical reactions discrete chaotic dynamics

V. Gontar, O. Grechko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A system of difference equations derived from chemical reactions discrete chaotic dynamics (DCD) is used to generate different types of images and corresponding discrete time series (signals). Dynamic properties of the generated time series and images are illustrated by partial bifurcation diagrams, partial intermediate bifurcation diagrams and Lyapunov exponents. Examples of images and signals have been presented. Some special relations between images and signals generated by DCD have been established and discussed.

Original languageEnglish
Pages (from-to)3415-3424
Number of pages10
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume17
Issue number10
DOIs
StatePublished - 1 Jan 2007

Keywords

  • Discrete chaotic dynamics
  • Mathematical imaging
  • Time series analyses

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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