Action-minimizing methods in Hamiltonian dynamics : (Record no. 81280)
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| Language of cataloging | eng |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400866618 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400866618 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691164502 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691164509 |
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| System control number | (OCoLC)906575019 |
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| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctt1b9wf38 |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452421 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.83 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.39 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sorrentino, Alfonso, |
| Dates associated with a name | 1979- |
| Relator term | author. |
| 9 (RLIN) | 64326 |
| 245 10 - TITLE STATEMENT | |
| Title | Action-minimizing methods in Hamiltonian dynamics : |
| Remainder of title | an introduction to Aubry-Mather theory / |
| Statement of responsibility, etc. | Alfonso Sorrentino. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2015] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xi, 115 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
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| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
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| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
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| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical notes ; |
| Volume/sequential designation | 50 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Linkage | 880-01 |
| Formatted contents note | 3.6 Holonomic Measures and Generic Properties of Tonelli Lagrangians4 Action-Minimizing Curves for Tonelli Lagrangians; 4.1 Global Action-Minimizing Curves: Aubry and Ma�n�e Sets; 4.2 Some Topological and Symplectic Properties of the Aubry and Ma�n�e 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 Ma�n�e Set; Appendices. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hamiltonian systems. |
| 9 (RLIN) | 12039 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hamilton-Jacobi equations. |
| 9 (RLIN) | 64327 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Syst�emes hamiltoniens. |
| 9 (RLIN) | 64328 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | �Equations de Hamilton-Jacobi. |
| 9 (RLIN) | 64329 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 16300 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 16301 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | General. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 4635 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hamilton-Jacobi equations. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00950768 |
| 9 (RLIN) | 64327 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hamiltonian systems. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00950772 |
| 9 (RLIN) | 12039 |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic book. |
| 9 (RLIN) | 7794 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| Source of term | lcgft |
| 9 (RLIN) | 3294 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Sorrentino, Alfonso. |
| Title | Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-Mather Theory. |
| Place, publisher, and date of publication | Princeton : Princeton University Press, �2015 |
| International Standard Book Number | 9780691164502 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Mathematical notes (Princeton University Press) ; |
| Volume/sequential designation | 50. |
| 9 (RLIN) | 64330 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452421">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452421</a> |
| 880 0# - ALTERNATE GRAPHIC REPRESENTATION | |
| Linkage | 505-01/(S |
| a | Cover; Copyright; Title; Contents; Preface; 1 Tonelli Lagrangians and Hamiltonians on Compact Manifolds; 1.1 Lagrangian Point of View; 1.2 Hamiltonian Point of View; 2 From KAM Theory to Aubry-Mather Theory; 2.1 Action-Minimizing Properties of Measures and Orbits on KAM Tori; 3 Action-Minimizing Invariant Measures for Tonelli Lagrangians; 3.1 Action-Minimizing Measures and Mather Sets; 3.2 Mather Measures and Rotation Vectors; 3.3 Mather's (Sa(B- and (Sb(B-Functions ; 3.4 The Symplectic Invariance of Mather Sets; 3.5 An Example: The Simple Pendulum (Part I). |
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