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Discrete integrable systems : QRT Maps and Elliptic Surfaces

Auteur : J J Duistermaat
Éditeur : New York : Springer, ©2010.
Collection : Springer monographs in mathematics.
Édition/format :   Livre électronique : Document : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics. The material comes from the author{u2019}s insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the  Lire la suite...
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Détails

Genre/forme : Electronic books
Format – détails additionnels : Print version:
Duistermaat, J.J. (Johannes Jisse), 1942-.
Discrete integrable systems.
New York : Springer, ©2010
Type d’ouvrage : Document, Ressource Internet
Format : Internet Resource, Computer File
Tous les auteurs / collaborateurs : J J Duistermaat
ISBN : 9780387729237 0387729232 9781441991263 1441991263
Numéro OCLC : 676697713
Description : 1 online resource (xxii, 627 pages).
Contenu : The QRT Map --
The Pencil of Biquadratic Curves in --
The QRT surface --
Cubic Curves in the Projective Plane --
The Action of the QRT Map on Homology --
Elliptic Surfaces --
Automorphisms of Elliptic Surfaces --
Elliptic Fibrations with a Real Structure --
Rational elliptic surfaces --
Symmetric QRT Maps --
Examples from the Literature --
Appendices.
Titre de collection : Springer monographs in mathematics.
Responsabilité : Johannes J. Duistermaat.

Résumé :

This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The application of QRT maps to problems in the literature, including  Lire la suite...

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From the reviews: "The book ... takes us on a tour of the field and provides us with a wealth of applications of various concepts coming from algebraic and analytic geometry to dynamical systems. ... Lire la suite...

 
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