On the geometry of a four-parameter rational planar system of difference equations |
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Authors: | Aaron S. Clark Jacob Weiss |
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Affiliation: | 1. Department of Mathematics , University of Nebraska at Kearney , Kearney , NE , USA clarka1@unk.edu;3. Department of Mathematics , University of Nebraska at Kearney , Kearney , NE , USA |
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Abstract: | In this paper, we consider geometric aspects of a rational, planar system of difference equations defined on the open first quadrant and whose behaviour is governed by four independent, non-negative parameters. This system, indexed as (23, 23) in the notation of Ladas (Open problems and conjectures, J. Differential Equ. Appl. 15(3) 2009, pp. 303–323), is one of the 200 systems from Ladas about which little is known. Using geometric techniques, we answer several questions concerning the behaviour of this system. |
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Keywords: | difference equation rational difference equation planar system |
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