An algebraic geometric approach to integrable maps of the plane

Danesh Jogia, John A G Roberts, Franco Vivaldi

Type: Article

Publication Date: 2006-01-18

Citations: 36

DOI: https://doi.org/10.1088/0305-4470/39/5/008

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Locations

Journal of Physics A Mathematical and General - View

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+	The Periodic Orbits of a Dynamical System Associated with a Family of QRT-Maps	2020	Guy Bastien Marc Rogalski
+ PDF Chat	Heron triangles with two rational medians and Somos-5 sequences	2022	Andrew N. W. Hone
+ PDF Chat	Generalised Manin transformations and QRT maps	2021	Peter H. van der Kamp David McLaren G. Quispel
+	Super integrable four-dimensional autonomous mappings	2007	H.W. Capel R. Sahadevan S. Rajakumar
+ PDF Chat	On the Set of Periods of the 2-Periodic Lyness’ Equation	2016	Guy Bastien Vı́ctor Mañosa Marc Rogalski
+ PDF Chat	Integrable Non-QRT Mappings of the Plane	2009	Pavlos Kassotakis Nalini Joshi
+	Lie symmetries of birational maps preserving genus 0 fibrations	2015	Mireia Llorens Vı́ctor Mañosa
+	Continua of periodic points for planar integrable rational maps	2015	Armengol Gasull Mireia Llorens Víctor Mañosa Fernández
+	On Quispel-Roberts-Thompson extensions and integrable correspondences	2011	B. Grammaticos A. Ramani K. M. Tamizhmani Ralph Willox
+ PDF Chat	Periodic Orbits of Planar Integrable Birational Maps	2015	Imma Gálvez-Carrillo Vı́ctor Mañosa

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman
+	Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures	2001	M. R. S. Kulenović G. Ladas
+	Mordell-Weil groups of elliptic curves over C(t) with pg=0 or 1	1982	David A. Cox
+	Artin's Conjecture and Elliptic Analogues	1997	M. Ram Murty
+	The Mordell-Weil Lattice of a Rational Elliptic Surface	1991	Keiji Oguiso Tetsuji Shioda
+ PDF Chat	Rational Points on Elliptic Curves	2015	Joseph H. Silverman John Tate
+	Global Behavior of Nonlinear Difference Equations of Higher Order with Applications	1993	V. L. Kocic G. Ladas
+	Rational Surfaces Associated with Affine Root Systems¶and Geometry of the Painlevé Equations	2001	Hidetaka Sakai
+	Chaos and time-reversal symmetry. Order and chaos in reversible dynamical systems	1992	John A G Roberts G. Quispel
+	Signature of time-reversal symmetry in polynomial automorphisms over finite fields	2005	John A G Roberts Franco Vivaldi