Homogeneous rational systems of difference equations in the plane

DOI10.1080/10236198.2011.635657zbMath1269.39003OpenAlexW2052765225MaRDI QIDQ4908686

Reza Mazrooei-Sebdani

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.635657

zbMATH Keywords

convergencepositive solutionssystemmonotonyhomogeneous rational difference equations

Mathematics Subject Classification ID

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

Related Items (6)

Periodic and chaotic orbits of a discrete rational system ⋮ Local dynamics and global stability of certain second-order rational difference equation with quadratic terms ⋮ Homogeneous rational systems of difference equations in the plane ⋮ Non-autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case ⋮ Planar homogeneous systems of difference equations ⋮ Folding, cycles and chaos in planar systems

Cites Work

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• A coupled system of rational difference equations
• Global asymptotic behavior of a two-dimensional difference equation modelling competition
• Semiconjugates of One-dimensional Maps
• Global convergence properties of first-order homogeneous systems of rational difference equations
• A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations
• Monotone and oscillatory solutions of a rational difference equation containing quadratic terms
• 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
• A note: Every homogeneous difference equation of degree one admits a reduction in order
• Homogeneous rational systems of difference equations in the plane

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