Global behaviour of solutions to a class of second-order rational difference equations when prime period-two solutions exist

DOI10.1080/10236198.2012.699048zbMath1337.39002OpenAlexW2118168435MaRDI QIDQ5301066

Sukanya Basu

Publication date: 2 July 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2012.699048

zbMATH Keywords

saddle pointdifference equationattractivityperiod-two solutioninvariant region

Mathematics Subject Classification ID

General theory of difference equations (39A05) Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23)

Related Items (1)

Local stability of period two cycles of second order rational difference equation

Cites Work

• Competitive-exclusion versus competitive-coexistence for systems in the plane
• Global behavior of solutions to two classes of second-order rational difference equations
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• 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
• Open problems and conjectures
• On second-order rational difference equations, Part 2
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