Format:
XII, 128 S
,
graph. Darst
,
24 cm
ISBN:
9783540219446
,
3540219447
Series Statement:
Lecture notes in mathematics 1844
Content:
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather's minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book. TOC:Aubry-Mather Theory.- Mather-Mané Theory.- The Minimal Action and Convex Billiards.- The Minimal Action Near Fixed Points and Invariant Tori.- The Minimal Action and Hofer's Geometry.- The Minimal Action and Symplectic Geometry.- References.- Index
Note:
Literaturverz. S. [121] - 125
Additional Edition:
ISBN 9783540409854
Additional Edition:
Erscheint auch als Online-Ausgabe Siburg, Karl Friedrich The principle of least action in geometry and dynamics Berlin [u.a.] : Springer, 2004 ISBN 9783540409854
Additional Edition:
Online-Ausg. Siburg, Karl Friedrich, 1965 - The Principle of Least Action in Geometry and Dynamics Berlin, Heidelberg : Springer Berlin Heidelberg, 2004 ISBN 9783540409854
Language:
English
Subjects:
Physics
,
Mathematics
Keywords:
Dynamisches System
;
Prinzip der kleinsten Wirkung
;
Symplektische Geometrie
URL:
http://www.loc.gov/catdir/enhancements/fy0813/2004104313-d.html
URL:
http://digitale-objekte.hbz-nrw.de/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&user=GUEST&pid=1495619