Hamiltonian Symplectic

Symplectic Invariants and Hamiltonian Dynamics  

Posted by ChrisRedfield at Nov. 15, 2015
Symplectic Invariants and Hamiltonian Dynamics

Helmut Hofer, Eduard Zehnder - Symplectic Invariants and Hamiltonian Dynamics
Published: 2011-04-12 | ISBN: 3034801033 | PDF | 341 pages | 3.37 MB
Symplectic Geometry of Integrable Hamiltonian Systems (repost)

Symplectic Geometry of Integrable Hamiltonian Systems by Michèle Audin and Ana Cannas da Silva
English | 2004 | ISBN: 3764321679 | 240 pages | PDF | 4,3 MB
Analysis of Hamiltonian PDEs (Oxford Lecture Series in Mathematics and Its Applications)

Analysis of Hamiltonian PDEs (Oxford Lecture Series in Mathematics and Its Applications) By Kuksin,S.B.
English | OXFORD UNIVERSITY PRESS 2000 | ISBN-10: 0198503954 | 226 pages | DJVU | 2.64 MB

For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last decade though, the interest has shifted steadily towards non-integrable Hamiltonian PDEs. Here, not algebra but analysis and symplectic geometry are the appropriate analysing tools. The present book is the first one to use this approach to Hamiltonian PDEs and present a complete proof of the "KAM for PDEs" theorem. It will be an invaluable source of information for postgraduate mathematics and physics students and researchers.
Symplectic Invariants and Hamiltonian Dynamics by Eduard Zehnder

Symplectic Invariants and Hamiltonian Dynamics by Eduard Zehnder
English | Feb 4, 2004 | ISBN: 3764350660, 0817650660 | 359 Pages | PDF | 9 MB

Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book.
Lectures on Dynamical Systems: Hamiltonian Vector Fields and Symplectic Capacities

Eduard Zehnder - Lectures on Dynamical Systems: Hamiltonian Vector Fields and Symplectic Capacities
Published: 2010-05-15 | ISBN: 3037190817 | PDF | 363 pages | 4 MB
Construction of Mappings for Hamiltonian Systems and Their Applications by Sadrilla S. Abdullaev [Repost]

Construction of Mappings for Hamiltonian Systems and Their Applications (Lecture Notes in Physics) by Sadrilla S. Abdullaev
Springer; 2006 edition | April 11, 2006 | English | ISBN: 3540309152 | 383 pages | PDF | 30 MB

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones.

Symplectic Geometric Algorithms for Hamiltonian Systems  

Posted by ChrisRedfield at Aug. 26, 2014
Symplectic Geometric Algorithms for Hamiltonian Systems

Kang Feng, ‎Mengzhao Qin - Symplectic Geometric Algorithms for Hamiltonian Systems
Published: 2010-12-09 | ISBN: 3642017762 | PDF | 700 pages | 4 MB
Symplectic Geometry of Integrable Hamiltonian Systems (repost)

Symplectic Geometry of Integrable Hamiltonian Systems
Birkhäuser Basel | 2004 | ISBN: 3764321679 | 240 pages | PDF | 4,1 MB

Lectures on Symplectic Geometry  eBooks & eLearning

Posted by Sonora at Nov. 25, 2006
Lectures on Symplectic Geometry

Ana Cannas da Silva
Lectures on Symplectic Geometry
Springer | ISBN: 3540421955 | 2001 | 217 pages | PDF | 1.1 MB

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moments maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster.

A Brief Introduction To Symplectic And Contact Manifolds  eBooks & eLearning

Posted by Underaglassmoon at Oct. 18, 2016
A Brief Introduction To Symplectic And Contact Manifolds

A Brief Introduction To Symplectic And Contact Manifolds
World Scientific | Geometry & Topology | Aug. 30 2016 | ISBN-10: 9814696706 | 180 pages | pdf | 4.25 mb

by Augustin Banyaga (Author), Djideme F. Houenou (Author)