ENGLISH

Periodic motions

By Miklós Farkas

Book information

Publisher
Springer-Verlag
Year
1994
ISBN
0387942041, 9780387942049, 3540942041, 9783540942047, 1441928383, 9781441928382
Language
english
Format
DJVU
Filesize
6 MB (5823593 bytes)
Series
Applied mathematical sciences (Springer-Verlag New York Inc.), v. 104
Pages
593\593
Library
Kolxo3
DPI
600
Time added
2012-12-29 17:00:00

Description

This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, involving difference equations. The application of QRT maps to these and other problems in the literature, including Poncelet mapping and the elliptic billiard, is examined in detail. The link between elliptic fibrations and completely integrable Hamiltonian systems is also discussed. The book begins with a comprehensive overview of the subject, including QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, action on homology classes, and periodic QRT maps. Later chapters cover these topics and more in detail. While QRT maps will be familiar to specialists in algebraic geometry, the present volume makes the subject accessible to mathematicians and graduate students in a classroom setting or for self-study

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