Description
This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps. The setting is that of a discrete variational calculus and the techniques involve Conley-Zehnder-Morse Theory. They give rise to the concept of ghost tori which are of interest in the dimension 2 case (ghost circles). The debate is oriented somewhat toward the open problem of finding orbits of all (in particular, irrational) rotation vectors.
Reviews
"... this book constitutes a fundamental monograph on the subject and gives a beautiful treatment of many results in the area that previously have only been accessible in original research papers." Mathematical Reviews
Book Information
ISBN 9789810205898
Author Christophe Gole
Format Hardback
Page Count 324
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd
Reviews
"... this book constitutes a fundamental monograph on the subject and gives a beautiful treatment of many results in the area that previously have only been accessible in original research papers." Mathematical Reviews
Book Information
ISBN 9789810205898
Author Christophe Gole
Format Hardback
Page Count 324
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd
