On the global periodicity of discrete dynamical systems and application to rational difference equations
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Publication:2427258
DOI10.1016/j.jmaa.2008.01.048zbMath1152.39008OpenAlexW2074331409MaRDI QIDQ2427258
Publication date: 8 May 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.048
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Related Items (6)
On a generalized max-type difference equation from automatic control theory ⋮ Different Approaches to the Global Periodicity Problem ⋮ Iterative roots with circuits for piecewise continuous and globally periodic maps ⋮ GLOBAL PERIODICITY CONDITIONS FOR MAPS AND RECURRENCES VIA NORMAL FORMS ⋮ Global periodicity and openness of the set of solutions for discrete dynamical systems ⋮ On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\)
Cites Work
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- 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
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