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Global Attractor of Solutions of a Rational System in the Plane

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  • Miron B. Bekker
  • Martin J. Bohner
  • 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.

Suggested Citation

  • Miron B. Bekker & Martin J. Bohner & Hristo D. Voulov, 2015. "Global Attractor of Solutions of a Rational System in the Plane," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, October.
    • Handle: RePEc:hin:jnddns:195247
    DOI: 10.1155/2015/195247
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