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Article
Global Attractor of Solutions of a Rational System in the Plane
Discrete Dynamics in Nature and Society
  • Miron B. Bekker
  • Martin Bohner, Missouri University of Science and Technology
  • Hristo D. Voulov
Abstract

We consider a two-dimensional autonomous system of rational difference equations with three positive parameters. It was conjectured that every positive solution of this system converges to a finite limit. Here we confirm this conjecture, subject to an additional assumption.

Department(s)
Mathematics and Statistics
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2015 Miron B. Bekker et al., All rights reserved.
Creative Commons Licensing
Creative Commons Attribution 3.0
Publication Date
1-1-2015
Publication Date
01 Jan 2015
Citation Information
Miron B. Bekker, Martin Bohner and Hristo D. Voulov. "Global Attractor of Solutions of a Rational System in the Plane" Discrete Dynamics in Nature and Society Vol. 2015 (2015) ISSN: 1026-0226
Available at: http://works.bepress.com/martin-bohner/152/