Global Attractor of Solutions of a Rational System in the Plane
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.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/195247 |
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| author | Miron B. Bekker Martin J. Bohner Hristo D. Voulov |
| author_facet | Miron B. Bekker Martin J. Bohner Hristo D. Voulov |
| author_sort | Miron B. Bekker |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-aed65885711449b4b009af3f30460b56 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-aed65885711449b4b009af3f30460b562025-02-03T05:44:02ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/195247195247Global Attractor of Solutions of a Rational System in the PlaneMiron B. Bekker0Martin J. Bohner1Hristo D. Voulov2Department of Mathematics, University of Pittsburgh at Johnstown, Johnstown, PA, USADepartment of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USADepartment of Mathematics and Statistics, University of Missouri-Kansas City, Kansas City, MO, USAWe 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.http://dx.doi.org/10.1155/2015/195247 |
| spellingShingle | Miron B. Bekker Martin J. Bohner Hristo D. Voulov Global Attractor of Solutions of a Rational System in the Plane Discrete Dynamics in Nature and Society |
| title | Global Attractor of Solutions of a Rational System in the Plane |
| title_full | Global Attractor of Solutions of a Rational System in the Plane |
| title_fullStr | Global Attractor of Solutions of a Rational System in the Plane |
| title_full_unstemmed | Global Attractor of Solutions of a Rational System in the Plane |
| title_short | Global Attractor of Solutions of a Rational System in the Plane |
| title_sort | global attractor of solutions of a rational system in the plane |
| url | http://dx.doi.org/10.1155/2015/195247 |
| work_keys_str_mv | AT mironbbekker globalattractorofsolutionsofarationalsystemintheplane AT martinjbohner globalattractorofsolutionsofarationalsystemintheplane AT hristodvoulov globalattractorofsolutionsofarationalsystemintheplane |