Global periodicity and complete integrability of discrete dynamical systems

DOI10.1080/10236190600703031zbMath1127.39010OpenAlexW2093832682MaRDI QIDQ5489337

Anna Cima, Víctor Mañosa, Armengol Gasull

Publication date: 25 September 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190600703031

zbMATH Keywords

difference equationsdiscrete dynamical systemscompletely integrable systemsglobally periodic systemsinvariants of discrete equations

Mathematics Subject Classification ID

Related Items (20)

On Coxeter recurrences ⋮ Normal forms for rational difference equations with applications to the global periodicity problem ⋮ Different Approaches to the Global Periodicity Problem ⋮ Real dynamics of integrable birational maps ⋮ A note on globally periodic maps and integrability ⋮ 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 ⋮ Non-integrability of measure preserving maps via Lie symmetries ⋮ Studying discrete dynamical systems through differential equations ⋮ On global periodicity of a class of difference equations ⋮ Dynamics of the third order Lyness' difference equation ⋮ Global Periodicity Of ⋮ New periodic recurrences with applications ⋮ On the global periodicity of some difference equations of third order ⋮ Existence and uniqueness ofp-cycles of second and third order ⋮ Global periodicity and openness of the set of solutions for discrete dynamical systems ⋮ Pointwise periodic maps with quantized first integrals ⋮ Invariant fibrations for some birational maps of ℂ₂ ⋮ Periodicity on discrete dynamical systems generated by a class of rational mappings ⋮ Meromorphic first integrals of analytic diffeomorphisms

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