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Qualitative Analysis of the Anistropic Kepler Problem. (Record no. 69308)

MARC details
000 -LEADER
fixed length control field 03407nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3113777
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124550.0
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 240724s1984 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470407254
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821823095
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113777
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113777
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10918728
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)851086084
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 QA372 -- .C373 1984eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.3/5
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Casasayas, Josefina.
245 10 - TITLE STATEMENT
Title Qualitative Analysis of the Anistropic Kepler Problem.
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 1984.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1984.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (126 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.52
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- TABLE OF CONTENTS -- 0: INTRODUCTION -- I: THE KEPLER PROBLEM -- (I.1) Formulation -- (I.2) Collision manifold -- (I.3) Infinity manifolds -- (I.4) Summary on the singularities -- (I.5) Heteroclinic orbits -- (I.6) Global flow -- (I.7) Poincaré map -- II: THE ANISOTROPIC KEPLER PROBLEM -- (II.1) Formulation -- (II.2) Symmetries -- (II.3) The Collision manifold -- (II.4) The Infinity manifolds -- (II.5) Invariant manifolds I[sub(h)] -- (II.6) Heteroclinic orbits -- (II.7) The flow on the collision manifold -- III: THE FLOW FOR NON-NEGATIVE ENERGY LEVELS -- (III.1) The case h=0 -- (III.2) The case h&gt -- 0 -- IV: THE FLOW ON NEGATIVE ENERGY LEVELS WHEN μ&gt -- 9/8 -- (IV.1) The intersection of the invariant manifolds with the surface of section v=0 -- (IV.2) The Poincaré maps g,f and h on v=0 -- (IV.3) The invariant manifolds under g and f -- (IV.4) Geometrical interpretation of the neighbourhoods of the invariant manifolds -- (IV.5) Regions with a constant number of crossings with the q[sub(2)]…axis, the map S[sub((θ[sub(0)],μ))] -- (IV.6) Basic sets for dynamical description -- (IV.7) A subshift as subsystem of h -- (IV.8) Gutzwiller's Theorem -- V: THE FLOW ON NEGATIVE ENERGY LEVELS WHEN 1&lt -- μ≤ 9/8 -- (V.l) The intersection of the invariant manifolds with the surface of section v=0 -- (V.2) Dynamical description -- VI: SYMMETRIC PERIODIC ORBITS -- (VI.1) Definitions and preliminary results -- (VI.2) The case μ=1 -- (VI.3) The case μ&gt -- 9/8 -- APPENDIX -- REFERENCES.
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 Differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differentiable dynamical systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Hamiltonian systems.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Llibre, Jaume.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Casasayas, Josefina
Title Qualitative Analysis of the Anistropic Kepler Problem
Place, publisher, and date of publication Providence : American Mathematical Society,c1984
International Standard Book Number 9780821823095
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=3113777">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113777</a>
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