Marc Rogalski

Generating author description...

All published works

Action	Title	Year	Authors
+	Difference equations on $\mathbb{R}_*^+$, of the form $u_{n+2}=\frac{f(u_{n+1})}{u_n+\lambda}$, $\lambda>0$, with applications to perturbations of dynamical systems	2024	Guy Bastien Marc Rogalski
+	Dynamical systems associated with QRT families of degree four biquadratic curves each of them with genus zero	2022	Guy Bastien Marc Rogalski
+	The Periodic Orbits of a Dynamical System Associated with a Family of QRT-Maps	2020	Guy Bastien Marc Rogalski
+	QRT-Families of Degree Four Biquadratic Curves Each of Them Has Genus Zero, Associated Dynamical Systems	2020	Guy Bastien Marc Rogalski
+ PDF Chat	A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions	2016	Guy Bastien Marc Rogalski
+ PDF Chat	On the Set of Periods of the 2-Periodic Lyness’ Equation	2016	Guy Bastien Vı́ctor Mañosa Marc Rogalski
+	QUELQUES POINTS SUR L’HISTOIRE ET L’EPISTEMOLOGIE DES FONCTIONS, POUVANT ECLAIRER CERTAINES QUESTIONS DIDACTIQUES SUR LEUR ENSEIGNEMENT	2015	Marc Rogalski
+	A QRT-system of two order one homographic difference equations: conjugation to rotations, periods of periodic solutions, sensitiveness to initial conditions	2014	Guy Bastien Marc Rogalski
+	A QRT-system of two order one homographic difference equations: conjugation to rotations, periods of periodic solutions, sensitiveness to initial conditions	2014	Guy Bastien Marc Rogalski
+ PDF Chat	ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS	2013	Guy Bastien Vı́ctor Mañosa Marc Rogalski
+	Results and problems about solutions of perturbed Lyness' type order<i>k</i>difference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method	2013	Guy Bastien Marc Rogalski
+	A BIQUADRATIC SYSTEM OF TWO ORDER ONE DIFFERENCE EQUATIONS: PERIODS, CHAOTIC BEHAVIOR OF THE ASSOCIATED DYNAMICAL SYSTEM	2012	Guy Bastien Marc Rogalski
+	Level sets lemmas and unicity of critical point of invariants, tools for local stability and topological properties of dynamical systems	2012	Guy Bastien Marc Rogalski
+	Periodic orbits of integrable birational maps on the plane: blending dynamics and algebraic geometry, the Lyness' case	2012	Guy Bastien Víctor Mañosa Fernández Marc Rogalski
+	Global behaviour of solutions of cyclic systems of<i>q</i>order 2 or 3 generalized Lyness' difference equations and of other more general equations of higher order	2011	Guy Bastien Marc Rogalski
+	Integrable birational maps on the plane: blending dynamics and algebraic geometry.	2011	Guy Bastien Marc Rogalski
+	A geometric approach to some difference equations and systems, extending Lyness-type ones	2011	Marc Rogalski
+	Atelier: autour de l'enseignement de l'intégrale	2009	Jean-Luc Dorier Marc Rogalski
+	Results and Conjectures about Order Lyness' Difference Equation in , with a Particular Study of the Case	2009	Guy Bastien Marc Rogalski
+	Results and Conjectures about Order q Lyness' Difference Equation unqunaunq−1 ··· un 1 in R , with a Particular Study of the Case q 3	2009	Guy Bastien Marc Rogalski István Győri
+	Les rapports entre local et global : mathématiques, rôle en physique élémentaire, questions didactiques	2008	Marc Rogalski
+	Global behavior of the solutions of the<i>k</i>-lacunary order 2<i>k</i>Lyness' difference equation in , and of other more general equations	2006	Guy Bastien Marc Rogalski
+	On the algebraic difference equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:…	2006	Guy Bastien Marc Rogalski
+	On the algebraic difference equations un+2un = ψ(un+1) in , related to a family of elliptic quartics in the plane	2005	Guy Bastien Marc Rogalski
+	On the algebraic difference equations <it>u</it><sub><it>n</it>+2</sub><it>u</it><sub><it>n</it></sub> = <it>ψ</it>(<it>u</it><sub><it>n</it>+1</sub>) in <inline-formula><graphic file="1687-1847-2005-948567-i1.gif"/></inline-formula>, related to a family of elliptic quartics in the plane	2005	Marc Rogalski Guy Bastien
+	On some algebraic difference equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>u</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo …	2004	Guy Bastien Marc Rogalski
+	Global Behavior of the Solutions of Lyness' Difference Equation	2004	Guy Bastien Marc Rogalski
+ PDF Chat	None	2002	Jean-Luc Dorier Aline Robert Marc Rogalski
+	Improved rate of convergence for the modified Szasz-Mirakyan operators	2000	Vijay Gupta Prabhakar Gupta Marc Rogalski
+	On a research programme concerning the teaching and learning of linear algebra in the first-year of a French science university	2000	Jean-Luc Dorier Aline Robert Jacqueline Robinet Marc Rogalski
+	Teaching and learning linear algebra in first year of French science university	1999	Jean-Luc Dorier Aline Robert Jacqueline Robinet Marc Rogalski
+	The slices of a cone and a characterization of ellipsoids	1998	Mathieu Meyer Marc Rogalski
+ PDF Chat	Convex bodies and concave functions	1995	M. Meyer Gabriel Mokobodzki Marc Rogalski
+ PDF Chat	Convex Bodies and Concave Functions	1995	M. Meyer Gabriel Mokobodzki Marc Rogalski
+	Inequalities About Symmetric Compact Convex Sets in the Plane	1985	Marc Rogalski Jean Saint Raymond
+	Inequalities about Symmetric Compact Convex Sets in the Plane	1985	Marc Rogalski Jean Saint Raymond
+	Que sont les facteurs directs des espaces de Banach classiques	1977	Marc Rogalski
+	Espaces de Banach séparables contenant $l^1(N)$	1976	Marc Rogalski
+ PDF Chat	Topologies faciales dans les convexes compacts. Calcul fonctionnel et décomposition spectrale dans le centre d'un espace $A(X)$	1972	Marc Rogalski
+ PDF Chat	Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.	1971	Marc Rogalski
+	Topologies faciales dans les convexes compacts ; calcul fonctionnel et décomposition spectrale dans le centre d’un espace $A(x)$	1970	Marc Rogalski
+	Espaces de Banach réticulés et problème de Dirichlet	1969	Marc Rogalski
+	Représentations fonctionnelles d'espaces vectoriels réticulés	1966	Marc Rogalski
+	Espaces de Banach ordonnés, simplexes, frontières de Šilov et problème de Dirichlet	1966	Marc Rogalski

Common Coauthors

Coauthor	Papers Together
Guy Bastien	23
Jean-Luc Dorier	4
Gabriel Mokobodzki	2
Vı́ctor Mañosa	2
Jean Saint Raymond	2
M. Meyer	2
Jacqueline Robinet	2
Aline Robert	2
Mathieu Meyer	1
Víctor Mañosa Fernández	1
Aline Robert	1
István Győri	1
Vijay Gupta	1
Prabhakar Gupta	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Global Behavior of the Solutions of Lyness' Difference Equation	2004	Guy Bastien Marc Rogalski	11
+	On some algebraic difference equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi>u</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo …	2004	Guy Bastien Marc Rogalski	9
+	On the algebraic difference equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:…	2006	Guy Bastien Marc Rogalski	9
+ PDF Chat	Dynamics of the third order Lyness' difference equation	2007	Anna Cima Armengol Gasull Vı́ctor Mañosa	8
+	Integrable mappings and soliton equations	1988	G. Quispel John A G Roberts Carol Thompson	8
+	On the algebraic difference equations un+2un = ψ(un+1) in , related to a family of elliptic quartics in the plane	2005	Guy Bastien Marc Rogalski	7
+ PDF Chat	Rational Points on Elliptic Curves	2015	Joseph H. Silverman John Tate	5
+	Zeeman's Monotonicity Conjecture	1998	Frits Beukers Richard Cushman	5
+	An algebraic geometric approach to integrable maps of the plane	2006	Danesh Jogia John A G Roberts Franco Vivaldi	5
+ PDF Chat	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	1983	Guy Robin	4
+	Global Behavior of Nonlinear Difference Equations of Higher Order with Applications	1993	V. L. Kocic G. Ladas	4
+	Invariants and related Liapunov functions for difference equations	2000	M. R. S. Kulenović	3
+	Periodicities of solutions of the generalized lyness recursion	1995	Ed Barbeau Boaz Gelbord Stephen M. Tanny	3
+ PDF Chat	On 2- and 3-periodic Lyness difference equations	2011	Anna Cima Armengol Gasull Vı́ctor Mañosa	3
+	Global behavior of the solutions of the<i>k</i>-lacunary order 2<i>k</i>Lyness' difference equation in , and of other more general equations	2006	Guy Bastien Marc Rogalski	3
+	On Periodic Rational Difference Equations of Order<i>k</i>	2004	Anna Cima Armengol Gasull Francesc Mañosas	3
+ PDF Chat	Some properties of the<i>k</i>-dimensional Lyness' map	2008	Anna Cima Armengol Gasull Vı́ctor Mañosa	3
+	Integrable mappings and soliton equations II	1989	G. Quispel John A G Roberts Carol Thompson	3
+	STABILITY OF THE kTH ORDER LYNESS' EQUATION WITH A PERIOD-k COEFFICIENT	2007	E.J. Janowski M. R. S. Kulenović Zehra Nurkanović	3
+	Meta level in the teaching of unifying and generalizing concepts in mathematics	1995	Jean-Luc Dorier	3
+ PDF Chat	The screensaver map: Dynamics on elliptic curves arising from polygonal folding	2001	J. Esch T. D. Rogers	3
+ PDF Chat	ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS	2013	Guy Bastien Vı́ctor Mañosa Marc Rogalski	3
+	DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS	2006	Anna Cima Armengol Gasull Vı́ctor Mañosa	3
+	Level sets lemmas and unicity of critical point of invariants, tools for local stability and topological properties of dynamical systems	2012	Guy Bastien Marc Rogalski	2
+ PDF Chat	A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions	2016	Guy Bastien Marc Rogalski	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2
+ PDF Chat	Integrability and non-integrability of periodic non-autonomous Lyness recurrences	2013	Anna Cima Armengol Gasull Vı́ctor Mañosa	2
+ PDF Chat	The role of formalism in the teaching of the theory of vector spaces	1998	Jean-Luc Dorier	2
+ PDF Chat	Third-order integrable difference equations generated by a pair of second-order equations	2006	Junta Matsukidaira Daisuke Takahashi	2
+	A general outline of the genesis of vector space theory	1995	Jean-Luc Dorier	2
+	A functional characterization of certain mixed volumes	1976	William J. Firey	2
+	A BIQUADRATIC SYSTEM OF TWO ORDER ONE DIFFERENCE EQUATIONS: PERIODS, CHAOTIC BEHAVIOR OF THE ASSOCIATED DYNAMICAL SYSTEM	2012	Guy Bastien Marc Rogalski	2
+	Some Periodic and Non-Periodic Recursions	2001	Marianna Csörnyei Miklós Laczkovich	2
+	Invariants for some rational recursive sequences with periodic coefficients	1996	J. Feuer E. J. Janowski G. Ladas	2
+	Periodicity of some classes of holomorphic difference equations	2006	Lothar Berg Stevo Stević	2
+ PDF Chat	Rational periodic sequences for the Lyness recurrence	2011	Armengol Gasull Vı́ctor Mañosa Xavier Xarles	2
+	Complex Algebraic Curves	1992	Frances Kirwan	2
+	Elliptic Curves	1987	Dale Husemöller	2
+	Rational Points on Elliptic Curves	1992	Joseph H. Silverman John Tate	2
+	Sur l'enseignement des concepts élémentaires d'algèbre linéaire à l'université	1991	Jean-Luc Dorier	2
+	On Quispel-Roberts-Thompson extensions and integrable correspondences	2011	B. Grammaticos A. Ramani K. M. Tamizhmani Ralph Willox	1
+	A conjecture on the stability of the periodic solutions of Ricker’s equation with periodic parameters	2010	Robert J. Sacker Hubertus F. von Bremen	1
+	Introduction à la théorie analytique et probabiliste des nombres	2015	Gérald Tenenbaum	1
+	Geometric Inequalities	1988	Yuriĭ Dmitrievich Burago V. A. Zalgaller	1
+	Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures	2007	E. Camouzis G. Ladas	1
+	Mappings of Hirota–Kimura–Yahagi type can have periodic coefficients too	2010	B. Grammaticos A. Ramani K. M. Tamizhmani	1
+	Properties of a Certain Lyness Equation	1998	C. Darwen William T. Patula	1
+	Rate of Convergence for the Modified Szász–Mirakyan Operators on Functions of Bounded Variation	1999	Vijay Gupta R. P. Pant	1
+	On the characterization of rational difference equations	2009	Frank J. Palladino	1
+	Structure in simplexes. II	1967	Edward G. Effros	1