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.
Original language | English (US) |
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Pages (from-to) | 509-524 |
Number of pages | 16 |
Journal | Journal of Difference Equations and Applications |
Volume | 18 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2012 |
Keywords
- difference equation
- planar system
- rational difference equation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics