GLOBAL PERIODICITY CONDITIONS FOR MAPS AND RECURRENCES VIA NORMAL FORMS

DOI10.1142/S0218127413501824zbMath1284.37039arXiv1205.0923OpenAlexW3125720765MaRDI QIDQ5405845

Anna Cima, Víctor Mañosa, Armengol Gasull

Publication date: 3 April 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0923

zbMATH Keywords

linearizationnormal formsperiodic mapsrational parametrizationsglobally periodic recurrenceslyness-type recurrences

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Birkhoff normal form and twist coefficients of periodic orbits of billiards* ⋮ Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points ⋮ Different Approaches to the Global Periodicity Problem ⋮ Non-integrability of measure preserving maps via Lie symmetries ⋮ Widely applicable periodicity results for higher order difference equations ⋮ Meromorphic first integrals of analytic diffeomorphisms

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