On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
From MaRDI portal
Publication:2495057
DOI10.1155/ADE.2005.227zbMath1100.39003MaRDI QIDQ2495057
Publication date: 30 June 2006
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/52828
local stabilityrational difference equationholomorphic function, quartic, periodic solutionweak chaotic behavior
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (15)
On 2- and 3-periodic Lyness difference equations ⋮ Unnamed Item ⋮ On the algebraic difference equations \(u_{n+2}+u_{n}=\psi (u_{n+1})\) in \(\mathbb R\), related to a family of elliptic quartics in the plane ⋮ The periodic orbits of a dynamical system associated with a family of QRT-maps ⋮ Periodic Orbits of Planar Integrable Birational Maps ⋮ Stability analysis of a certain class of difference equations by using KAM theory ⋮ Stability, periodicity, and symmetries of certain second-order fractional difference equation with quadratic terms via KAM theory ⋮ On the Set of Periods of the 2-Periodic Lyness’ Equation ⋮ On λ-determinants and tiling problems ⋮ Unnamed Item ⋮ Global behavior of a generalized Lyness difference equation under linear perturbation ⋮ Global behaviour of solutions of cyclic systems ofqorder 2 or 3 generalized Lyness' difference equations and of other more general equations of higher order ⋮ Results and conjectures about order \(q\) Lyness' difference equation \(u_{n+q}u_n=a+u_{n+q - 1}+ \dots +u_{n+1}\) in \(\mathbb R_{\ast}^+\), with a particular study of the case \(q=3\) ⋮ Results and problems about solutions of perturbed Lyness' type orderkdifference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method ⋮ Global behavior of the solutions of thek-lacunary order 2kLyness' difference equation in , and of other more general equations
This page was built for publication: On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
