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On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems. (Record no. 69921)

MARC details
000 -LEADER
fixed length control field 03614nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3114426
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124607.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2003 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403737
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821832684
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114426
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114426
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041204
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922965090
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA614.83 -- .L63 2003eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;514/.74
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lochak, P.
245 10 - TITLE STATEMENT
Title On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2003.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2003.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (162 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.163
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Chapter 0. Introduction and Some Salient Features of the Model Hamiltonian -- Chapter 1. Symplectic Geometry and the Splitting of Invariant Manifolds -- 1.1. Symplectic geometry: a short reminder -- 1.2. Hyperbolic invariant manifolds -- 1.3. Angles of Lagrangian planes: the symplectic viewpoint -- 1.4. Angles of Lagrangian planes: the Euclidean viewpoint -- 1.5. Symplectic isomorphisms, angles and splitting forms -- 1.6. The splitting of Lagrangian submanifolds -- 1.7. Lagrangian submanifolds in a cotangent bundle -- 1.8. Hyperbolic tori and normally hyperbolic invariant manifolds -- 1.9. The perturbative setting -- 1.10. Lagrangian intersections and homoclinic trajectories -- 1.11. The splitting of the invariant manifolds of hyperbolic tori -- Chapter 2. Estimating the Splitting Matrix Using Normal Forms -- 2.1. Resonant normal forms -- 2.2. Computations in the vicinity of a resonant surface -- 2.3. Splitting in a perturbative setting, variance and stability -- 2.4. General exponential estimates for the splitting matrix -- 2.5. Persistence of tori, invariant manifolds and homoclinic trajectories -- 2.6. Splitting and stability -- Chapter 3. The Hamilton-Jacobi Method for a Simple Resonance -- 3.1. Notation and assumptions -- 3.2. Formal solutions and the Hamilton-Jacobi algorithm -- 3.3. Convergence and domains of analyticity -- 3.4. Exponential closeness of the invariant manifolds -- 3.5. Linear versus nonlinear splitting -- 3.6. Some variants and possible generalizations -- 3.7. A short historical tour and some concluding remarks -- Appendix. Invariant Tori With Vanishing or Zero Torsion -- Bibliography.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Hamiltonian systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Invariant manifolds.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Marco, J.-P.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sauzin, D.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Lochak, P.
Title On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems
Place, publisher, and date of publication Providence : American Mathematical Society,c2003
International Standard Book Number 9780821832684
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114426">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114426</a>
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