The principle of least action in geometry and dynamics / Karl Friedrich Siburg

By:

Siburg, Karl F [aut]

Contributor(s):

Siburg, Karl Friedrich, 1965- [aut]

Resource type: Ressourcentyp: BuchBookLanguage: English Series: Lecture notes in mathematics ; 1844Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2004Description: XII, 128 S : graph. Darst ; 24 cmISBN:

9783540219446
3540219447

Subject(s):

Additional physical formats: 9783540409854 | Erscheint auch als: The principle of least action in geometry and dynamics. Online-Ausgabe [Online-Ressource]. Berlin [u.a.] : Springer, 2004. Online-Ressource (XII, 128 S.) | Online-Ausg.: The Principle of Least Action in Geometry and Dynamics. Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. Online-Ressource (XII, 136 p, online resource)DDC classification:

510 516.35
510
s
516.3/5
510 s
510 530

MSC: MSC: *37J50 | 37E40 | 53D05 | 58E30 | 37J10 | 37D50RVK: RVK: SI 850 | SK 540 | UF 1000LOC classification:

Contents:

Summary: 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.- IndexPPN: PPN: 387526641

Holdings ( 1 )

Holdings
Item type	Home library	Shelving location	Call number	Status	Date due	Barcode	Item holds
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Lect. notes / 1844	Available		36316418090

Total holds: 0