Periodic Orbits of Planar Integrable Birational Maps (Q2949226)

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Language	Label	Description	Also known as
English	Periodic Orbits of Planar Integrable Birational Maps	scientific article

Statements

scholarly article

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Periodic Orbits of Planar Integrable Birational Maps (English)

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Imma Gálvez-Carrillo

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Víctor Mañosa

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Springer Proceedings in Mathematics & Statistics

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publication date

8 October 2015

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full work available at URL

http://hdl.handle.net/2117/20107

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zbMATH Keywords

birational planar map

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algebraic curve

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periodic orbit

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foliation

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Changing rotation intervals of endomorphisms of the circle

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Periodicities of solutions of the generalized lyness recursion

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Global Behavior of the Solutions of Lyness' Difference Equation

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On some algebraic difference equations \(u_{n+2} u_{n}= \psi(u_{n+1})\) in \(\mathbb R_*^+\), related to families of conics or cubics: generalization of the Lyness' sequences

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On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane

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On the algebraic difference equations \(u_{n+2}+u_{n}=\psi (u_{n+1})\) in \(\mathbb R\), related to a family of elliptic quartics in the plane

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ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS

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Zeeman's monotonicity conjecture

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Symplectic birational transformations of the plane

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Real dynamics of integrable birational maps

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Integrability and algebraic entropy of \(k\)-periodic non-autonomous Lyness recurrences

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Dynamics of the third order Lyness' difference equation

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Studying discrete dynamical systems through differential equations

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On Poncelet's maps

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NONAUTONOMOUS TWO-PERIODIC GUMOVSKI–MIRA DIFFERENCE EQUATIONS

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Integrability and non-integrability of periodic non-autonomous Lyness recurrences

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Different Approaches to the Global Periodicity Problem

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HURWITZ GROUPS WITH GIVEN CENTRE

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An update on Hurwitz groups

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Frieze patterns

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Some properties of the Cremona group

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The screensaver map: dynamics on elliptic curves arising from polygonal folding.

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Rational periodic sequences for the Lyness recurrence

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Recurrences and discrete dynamic systems

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\(k\)-integrals and \(k\)-Lie symmetries in discrete dynamical systems

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An algebraic geometric approach to integrable maps of the plane

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Characterizing singular curves in parametrized families of biquadratics

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Integrable mappings and soliton equations

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Integrable mappings and soliton equations. II

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Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n

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Approximate formulas for some functions of prime numbers

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The Arithmetic of Elliptic Curves

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On the integrability of correspondences associated to integral curves

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-12328-8_2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2949226

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