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Khaled Hamad
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All published works
Action
Title
Year
Authors
+
QRT maps and related Laurent systems
2018
Khaled Hamad
Andrew N. W. Hone
Peter H. van der Kamp
G. Quispel
+
QRT maps and related Laurent systems
2017
Khaled Hamad
Andrew N. W. Hone
Peter H. van der Kamp
G. Quispel
+
From discrete integrable equations to Laurent recurrences
2016
Khaled Hamad
Peter H. van der Kamp
+
From integrable equations to Laurent recurrences
2014
Khaled Hamad
Peter H. van der Kamp
Common Coauthors
Coauthor
Papers Together
Peter H. van der Kamp
4
Andrew N. W. Hone
2
G. Quispel
2
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Periodicity of Somos sequences
1992
Raphael M. Robinson
4
+
Sigma function solution of the initial value problem for Somos 5 sequences
2007
Andrew N. W. Hone
4
+
A novel<i>n</i>th order difference equation that may be integrable
2012
Dmitry K. Demskoi
Dinh T Tran
Peter H. van der Kamp
G. Quispel
4
+
PDF
Chat
Growth of degrees of integrable mappings
2011
Peter H. van der Kamp
4
+
Algebraic Entropy
1999
Marc Bellon
C.-M. Viallet
4
+
Memoir on Elliptic Divisibility Sequences
1948
Morgan Ward
4
+
ELLIPTIC CURVES AND QUADRATIC RECURRENCE SEQUENCES
2005
Andrew N. W. Hone
4
+
Integrable mappings and soliton equations II
1989
G. Quispel
John A G Roberts
Carol Thompson
4
+
RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
2006
Alfred J. van der Poorten
Christine Swart
4
+
Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
2008
Andrew N. W. Hone
Christine Swart
4
+
PDF
Chat
Cluster mutation-periodic quivers and associated Laurent sequences
2010
Allan P. Fordy
Bethany Marsh
4
+
The Laurent Phenomenon
2002
Sergey Fomin
Andrei Zelevinsky
3
+
PDF
Chat
On the algebraic structure of rational discrete dynamical systems
2015
C-M. Viallet
3
+
PDF
Chat
How to generate as many Somos-like miracles as you wish<sup>†</sup>
2013
Shalosh B. Ekhad
Doron Zeilberger
3
+
PDF
Chat
Laurent phenomenon algebras
2016
Thomas Lam
Pavlo Pylyavskyy
3
+
PDF
Chat
Laurent phenomenon sequences
2015
Joshua Alman
Cesar Cuenca
Jiaoyang Huang
3
+
Dynamics of complexity of intersections
1990
Vladimir I. Arnold
2
+
Integrable mappings and soliton equations
1988
G. Quispel
John A G Roberts
Carol Thompson
2
+
PDF
Chat
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
1999
Yuichi Ohta
K. M. Tamizhmani
B. Grammaticos
A. Ramani
2
+
PDF
Chat
Somos-4 and Somos-5 are arithmetic divisibility sequences
2015
Peter H. van der Kamp
2
+
Analytic solutions and integrability for bilinear recurrences of order six
2010
Andrew N. W. Hone
2
+
Magic determinants of Somos sequences and theta functions
2009
Xinrong Ma
2
+
PDF
Chat
Cluster ensembles, quantization and the dilogarithm
2009
V. V. Fock
A. B. Goncharov
2
+
PDF
Chat
Cluster Algebras and Poisson Geometry
2010
Michael Gekhtman
Michael Shapiro
Alek Vainshtein
2
+
Cluster algebras I: Foundations
2001
Sergey Fomin
Andrei Zelevinsky
2
+
Ultradiscrete QRT maps and tropical elliptic curves
2008
Atsushi Nobe
2
+
PDF
Chat
Singularity Confinement and Chaos in Discrete Systems
1998
Jarmo Hietarinta
C.-M. Viallet
2
+
PDF
Chat
Symplectic Maps from Cluster Algebras
2011
Allan P. Fordy
Andrew N. W. Hone
2
+
Tilting theory and cluster combinatorics
2005
Aslak Bakke Buan
Bethany Marsh
Markus Reineke
Idun Reiten
Gordana Todorov
2
+
PDF
Chat
Growth and integrability in the dynamics of mappings
1992
А. П. Веселов
2
+
PDF
Chat
Algebraic Entropy of Birational Maps with Invariant Curves
1999
Marc Bellon
2
+
PDF
Chat
Primitive divisors of elliptic divisibility sequences
2005
Graham Everest
Gerard Mclaren
Thomas Ward
2
+
Integrable mappings via rational elliptic surfaces
2004
Teruhisa Tsuda
2
+
PDF
Chat
Dynamics of bimeromorphic maps of surfaces
2001
Jeffrey Diller
C. Favre
2
+
Factorization properties of birational mappings
1995
S. Boukraa
J-M Maillard
2
+
PDF
Chat
Discrete Integrable Systems and Poisson Algebras From Cluster Maps
2013
Allan P. Fordy
Andrew N. W. Hone
2
+
PDF
Chat
Singularity confinement for maps with the Laurent property
2006
Andrew N. W. Hone
2
+
Primes generated by elliptic curves
2003
Graham Everest
Victor S. Miller
N. M. Stephens
2
+
From discrete integrable equations to Laurent recurrences
2016
Khaled Hamad
Peter H. van der Kamp
2
+
Elliptic divisibility sequences
2003
Graham Everest
Alf van der Poorten
Igor E. Shparlinski
Thomas Ward
2
+
PDF
Chat
Hirota’s difference equations
1997
A. Zabrodin
2
+
PDF
Chat
Singularity, complexity, and quasi-integrability of rational mappings
1993
Gregorio Falqui
C.-M. Viallet
2
+
PDF
Chat
Cluster algebras in algebraic lie theory
2013
Christof Geiß
Bernard Leclerc
Jan Schröer
2
+
PDF
Chat
Irreducibility and co-primeness as an integrability criterion for discrete equations
2014
Masataka Kanki
Jun Mada
Takafumi Mase
Tetsuji Tokihiro
2
+
PDF
Chat
Integrable mappings and polynomial growth
1994
S. Boukraa
J-M Maillard
G. Rollet
2
+
PDF
Chat
Investigation into the role of the Laurent property in integrability
2016
Takafumi Mase
2
+
PDF
Chat
Dynamics of the third order Lyness' difference equation
2007
Anna Cima
Armengol Gasull
Vı́ctor Mañosa
1
+
Laurent Phenomenon Sequences
2013
Joshua Alman
Cesar Cuenca
Jiaoyang Huang
1
+
PDF
Chat
Birational maps that send biquadratic curves to biquadratic curves
2015
John A G Roberts
Danesh Jogia
1
+
PDF
Chat
Discrete Painlevé equations from Y-systems
2014
Andrew N. W. Hone
Rei Inoue
1