Dynamics of a rational system of difference equations in the plane

DOI10.1155/2011/958602zbMath1232.39013arXiv1011.2050OpenAlexW2593131323WikidataQ59266814 ScholiaQ59266814MaRDI QIDQ537218

Ignacio Bajo, Juan Perán, Daniel Franco Leis

Publication date: 19 May 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2050

zbMATH Keywords

asymptotic behaviorstability of solutionsbounded and periodic solutionsrational systems of difference equations

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (12)

On forbidden sets ⋮ Invariants for certain discrete dynamical systems given by rational mappings ⋮ Forbidden sets and stability in some rational difference equations ⋮ Chaos in rational systems in the plane containing quadratic terms ⋮ Invariant quadrics and orbits for a family of rational systems of difference equations ⋮ BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION ⋮ Global behavior of a third order difference equation with quadratic term ⋮ Global behavior of a rational second order difference equation ⋮ Behavior of solutions of a second order rational difference equation ⋮ Unnamed Item ⋮ Planar homogeneous systems of difference equations ⋮ Global behavior and oscillation of a third order difference equation

Cites Work

• Periodicity on discrete dynamical systems generated by a class of rational mappings
• 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
• On the Computation of An

This page was built for publication: Dynamics of a rational system of difference equations in the plane