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Journal of Difference Equations and Applications Volume 12, 2006 - Issue 7
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Original Articles

Global periodicity and complete integrability of discrete dynamical systems

Anna Cima Department de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, SpainCorrespondence[email protected] [email protected]
,
Armengol Gasull Department de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain
&
Víctor Mañosa Department de Matemàtica Aplicada III, Control, Dynamics and Applications Group (CoDALab), Universitat Politècnica de Catalunya, Colom 1, 08222, Terrassa, SpainView further author information
Pages 697-716 | Received 20 Jan 2006, Accepted 15 Mar 2006, Published online: 25 Jan 2007

Citations (24)

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Read on this site (10)

Anna Cima & Sundus Zafar. (2019) Invariant fibrations for some birational maps of ℂ2. Journal of Difference Equations and Applications 25:8, pages 1107-1133.
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Tsukasa Yumibayashi. (2017) Derivation of higher dimensional periodic recurrence equations by nested structure of complex numbers. Journal of Difference Equations and Applications 23:6, pages 1081-1092.
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Anna Cima, Armengol Gasull & Francesc Mañosas. (2012) On Coxeter recurrences. Journal of Difference Equations and Applications 18:9, pages 1457-1465.
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J. Rubió-Massegú. (2009) Global periodicity and openness of the set of solutions for discrete dynamical systems. Journal of Difference Equations and Applications 15:6, pages 569-578.
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A. Caro & A. Linero. (2009) Existence and uniqueness of p-cycles of second and third order. Journal of Difference Equations and Applications 15:5, pages 489-500.
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Víctor Mañosa. (2008) A note on globally periodic maps and integrability. Journal of Difference Equations and Applications 14:6, pages 667-670.
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F. Balibrea & A. Linero. (2007) On the global periodicity of some difference equations of third order. Journal of Difference Equations and Applications 13:11, pages 1011-1027.
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F. Balibrea, A. Linero Bas, G. Soler López & S. Stević. (2007) Global Periodicity Of . Journal of Difference Equations and Applications 13:10, pages 901-910.
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Anna Cima, Armengol Gasull & Víctor Mañosa. (2007) Dynamics of the third order Lyness' difference equation. Journal of Difference Equations and Applications 13:10, pages 855-884.
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Ignacio Bajo & Eduardo Liz. (2006) Periodicity on discrete dynamical systems generated by a class of rational mappings. Journal of Difference Equations and Applications 12:12, pages 1201-1212.
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Articles from other publishers (14)

A. Linero Bas, V. Mañosa & D. Nieves Roldán. (2024) On the accumulation points of non-periodic orbits of a difference equation of fourth order. Journal of Mathematical Analysis and Applications 531:2, pages 127895.
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Antoni Ferragut, Armengol Gasull & Xiang Zhang. (2023) Meromorphic first integrals of analytic diffeomorphisms. Journal of Mathematical Analysis and Applications 519:1, pages 126796.
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Anna Cima, Armengol Gasull, Víctor Mañosa & Francesc Mañosas. (2022) Pointwise periodic maps with quantized first integrals. Communications in Nonlinear Science and Numerical Simulation 108, pages 106150.
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Armengol Gasull. 2019. Difference Equations, Discrete Dynamical Systems and Applications. Difference Equations, Discrete Dynamical Systems and Applications 129 167 .
Anna Cima, Armengol Gasull, Víctor Mañosa & Francesc Mañosas. 2016. Difference Equations, Discrete Dynamical Systems and Applications. Difference Equations, Discrete Dynamical Systems and Applications 85 106 .
Inês Cruz, Helena Mena-Matos & M. Esmeralda Sousa-Dias. (2015) Dynamics of the birational maps arising from and quivers . Journal of Mathematical Analysis and Applications 431:2, pages 903-918.
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Anna Cima, Armengol Gasull & Víctor Mañosa. (2015) Non-integrability of measure preserving maps via Lie symmetries. Journal of Differential Equations 259:10, pages 5115-5136.
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Xiang Zhang. (2013) Analytic integrable systems: Analytic normalization and embedding flows. Journal of Differential Equations 254:7, pages 3000-3022.
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Anna Cima, Armengol Gasull & Francesc Mañosas. (2011) New periodic recurrences with applications. Journal of Mathematical Analysis and Applications 382:1, pages 418-425.
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Anna Cima & Francesc Mañosas. (2011) Real Dynamics of Integrable Birational Maps. Qualitative Theory of Dynamical Systems 10:2, pages 247-275.
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J. Rubió-Massegú. (2008) On the global periodicity of discrete dynamical systems and application to rational difference equations. Journal of Mathematical Analysis and Applications 343:1, pages 182-189.
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Anna Cima, Armengol Gasull & Víctor Mañosa. (2008) Studying discrete dynamical systems through differential equations. Journal of Differential Equations 244:3, pages 630-648.
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Josep Rubió-Massegú & Víctor Mañosa. (2007) Normal forms for rational difference equations with applications to the global periodicity problem. Journal of Mathematical Analysis and Applications 332:2, pages 896-918.
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Stevo Stevic. (2007) On Global Periodicity of a Class of Difference Equations. Discrete Dynamics in Nature and Society 2007, pages 1-10.
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