Normal forms for rational difference equations with applications to the global periodicity problem
From MaRDI portal
Publication:884340
DOI10.1016/j.jmaa.2006.10.061zbMath1121.39019OpenAlexW2061179910MaRDI QIDQ884340
Josep Rubió-Massegú, Víctor Mañosa
Publication date: 6 June 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/44198
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (12)
On forbidden sets ⋮ Different Approaches to the Global Periodicity Problem ⋮ On problems of Topological Dynamics in non-autonomous discrete systems ⋮ On the global periodicity of discrete dynamical systems and application to rational difference equations ⋮ Dynamics of the birational maps arising from \(F_0\) and \(dP_3\) quivers ⋮ GLOBAL PERIODICITY CONDITIONS FOR MAPS AND RECURRENCES VIA NORMAL FORMS ⋮ On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\) ⋮ On a max-type and a min-type difference equation ⋮ Dynamics of the equation in the complex plane ⋮ Global periodicity and openness of the set of solutions for discrete dynamical systems ⋮ Widely applicable periodicity results for higher order difference equations ⋮ On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic solutions with the same period of the recursion \(x_{n+1}=\frac{\alpha+\beta x_ n+\gamma x_{n-1}}{A+Bx_ n+Cx_{n-1}}\)
- On rational recursive sequences
- A self-invertibility condition for global periodicity of difference equations
- Periodicity on discrete dynamical systems generated by a class of rational mappings
- DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS
- Characterization of Rational Periodic Sequences II
- Characterization of rational periodic sequences
- Open problems and conjectures
- On Globally Periodic Solutions of the Difference Equation x n + 1 = f ( x n )/ x n − 1
- On Periodic Rational Difference Equations of Orderk
- Global periodicity and complete integrability of discrete dynamical systems
- Periodicity of some classes of holomorphic difference equations
- On global periodicity of difference equations
- Some periodic and non-periodic recursions
- A rational difference equation
- On periodic cycles of the Lyness equations
This page was built for publication: Normal forms for rational difference equations with applications to the global periodicity problem
