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On the global periodicity of discrete dynamical systems and application to rational difference equations

  • Published:2008-07 Issue:1 Volume:343 Page:182-189
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Rubió-Massegú J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Characterization of rational periodic sequences;Abu-Saris;J. Difference Equ. Appl.,2000

2. A self-invertibility condition for global periodicity of difference equations;Abu-Saris;Appl. Math. Lett.,2006

3. On global periodicity of difference equations;Abu-Saris;J. Math. Anal. Appl.,2003

4. Characterization of rational periodic sequences II;Abu-Saris;J. Difference Equ. Appl.,2004

5. Some new results and open problems on periodicity of difference equations;Balibrea;Grazer Math. Ber.,2005

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1. On the existence of $6$-cycles for some families of difference equations of third order;Turkish Journal of Mathematics;2023-11-09

2. Different Approaches to the Global Periodicity Problem;Difference Equations, Discrete Dynamical Systems and Applications;2016

3. GLOBAL PERIODICITY CONDITIONS FOR MAPS AND RECURRENCES VIA NORMAL FORMS;International Journal of Bifurcation and Chaos;2013-11

4. Iterative roots with circuits for piecewise continuous and globally periodic maps;Topology and its Applications;2012-06

5. On a generalized max-type difference equation from automatic control theory;Nonlinear Analysis: Theory, Methods & Applications;2010-02
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