Global convergence properties of first-order homogeneous systems of rational difference equations

DOI10.1080/10236198.2011.590802zbMath1259.39012OpenAlexW2170235283MaRDI QIDQ3165743

Peter M. Knopf, Ying Sue Huang

Publication date: 19 October 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.590802

zbMATH Keywords

global convergencehomogeneous systemssystem of rational difference equationsfirst-order

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (6)

Mappings with a single critical point and applications to rational difference equations ⋮ Global dynamics of three anticompetitive systems of difference equations in the plane ⋮ Periodic and chaotic orbits of a discrete rational system ⋮ Homogeneous rational systems of difference equations in the plane ⋮ Planar homogeneous systems of difference equations ⋮ Folding, cycles and chaos in planar systems

Cites Work

• Global behavior of four competitive rational systems of difference equations in the plane
• Global results on rational systems in the plane, part 1
• Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
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