Global results on rational systems in the plane, part 1

DOI10.1080/10236190802649727zbMath1218.39001OpenAlexW2079592768MaRDI QIDQ3584651

Gerasimos E. Ladas, Elias Camouzis

Publication date: 30 August 2010

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

Full work available at URL: https://doi.org/10.1080/10236190802649727

zbMATH Keywords

convergenceboundednessrational systemsperiodic trichotomies

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Difference equations (39Axx)

Related Items (12)

On the global character of solutions of the system: ⋮ Global convergence properties of first-order homogeneous systems of rational difference equations ⋮ The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ On the asymptotic behavior of a system of two rational difference equations ⋮ Some boundedness results for systems of two rational difference equations ⋮ Chaos in rational systems in the plane containing quadratic terms ⋮ Global asymptotic stability of a rational system ⋮ Homogeneous rational systems of difference equations in the plane ⋮ Unboundedness results for systems ⋮ Patterns of boundedness of the rational systemx_n+1=α₁/ (A₁+B₁x_n+C₁y_n) andy_n+1= (α₂+β₂x_n+γ₂y_n) / (A₂+B₂x_n+C₂y_n) ⋮ On the boundedness character of rational systems in the plane ⋮ Planar homogeneous systems of difference equations

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