An Introduction to the Qualitative Theory of Dynamical Systems on Surfaces (Translations of Mathematical Monographs) (Volume 153)

Aranson, Samuel

ISBN 10: 0821803697 / ISBN 13: 9780821803691

Edité par American Mathematical Society, 1996

A propos de cet article

Volume 153. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780821803691. N° de réf. du vendeur 9789678

Détails bibliographiques

Titre : An Introduction to the Qualitative Theory of...

Éditeur : American Mathematical Society

Date d'édition : 1996

Reliure : Couverture rigide

Etat : Good

A propos de ce titre

Synopsis :

This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensional systems. This is connected mainly with the existence of nontrivial recurrent trajectories for such flows. The investigation of dynamical sytems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need by familiar only with basic courses indifferential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text. The results expounded can be used for investigating mathematical models of mechanical, physical, and other systems (billiards in polygons, the dynamics of a spinning top with nonholonomic constraints, the structure of liquid crystals, etc). The book should be useful not only to mathematicians in all areas, but also to specialists with a mathematical background who are studying dynamical processes: mechanical engineers, physicists, biologists, and so on.