The Resource Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory, Alfonso Sorrentino

Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory, Alfonso Sorrentino

Label
Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory
Title
Action-minimizing methods in Hamiltonian dynamics
Title remainder
an introduction to Aubry-Mather theory
Statement of responsibility
Alfonso Sorrentino
Creator
Author
Subject
Language
eng
Summary
John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as a
Member of
Cataloging source
N$T
Dewey number
515/.39
Index
index present
LC call number
QA614.83
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Mathematical notes
Series volume
50
Label
Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory, Alfonso Sorrentino
Publication
Copyright
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 3.6 Holonomic Measures and Generic Properties of Tonelli Lagrangians4 Action-Minimizing Curves for Tonelli Lagrangians; 4.1 Global Action-Minimizing Curves: Aubry and Mañé Sets; 4.2 Some Topological and Symplectic Properties of the Aubry and Mañé Sets; 4.3 An Example: The Simple Pendulum (Part II); 4.4 Mather's Approach: Peierls' Barrier; 5 The Hamilton-Jacobi Equation and Weak KAM Theory; 5.1 Weak Solutions and Subsolutions of Hamilton-Jacobi and Fathi's Weak KAM theory; 5.2 Regularity of Critical Subsolutions; 5.3 Non-Wandering Points of the Mañé Set; Appendices
  • A On the Existence of Invariant Lagrangian GraphsA. 1 Symplectic Geometry of the Phase Space; A.2 Existence and Nonexistence of Invariant Lagrangian Graphs; B Schwartzman Asymptotic Cycle and Dynamics; B.1 Schwartzman Asymptotic Cycle; B.2 Dynamical Properties; Bibliography; Index
Control code
ocn906575019
Dimensions
unknown
Extent
1 online resource (xi, 115 pages)
Form of item
online
Isbn
9781400866618
Media category
computer
Media MARC source
rdamedia
Media type code
c
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt1b9wf38
http://library.link/vocab/recordID
.b34204374
Specific material designation
remote
System control number
  • (OCoLC)906575019
  • pebcs1400866618

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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