Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations. (Record no. 69482)
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| fixed length control field | 03553nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113951 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124555.0 |
| 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 | 240724s1994 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470400903 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821825815 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113951 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113951 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10918904 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981547 |
| 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 -- .L553 1994eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514/.7 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Llibre, Jaume. |
| 245 10 - TITLE STATEMENT | |
| Title | Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations. |
| 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 | 1994. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1994. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (206 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.107 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- TABLE OF CONTENTS -- CHAPTER I: INTRODUCTION AND STATEMENT OF THE RESULTS -- CHAPTER II: BIFURCATIONS -- 1. Hamiltonian systems with two degrees of freedom associated to central potentials -- 1.1. Preliminary results on Hamiltonian systems -- 1.2. Definitions and basic properties -- 2. Study of the bifurcation set ∑[sub(HC)] -- 2.1. The set A -- 2.2. The set B -- 2.3. The set σ(HC) -- 2.4. Simple bifurcations -- 3. Classification of the simple bifurcations -- 3.1. The bifurcations of ∑'[sub(HC) ∩ σ(H,C) -- 3.2. The bifurcations of ∑'[sub(HC) ∩ B -- 3.3. Stability of the simple bifurcations -- CHAPTER III: SEPARATRIX SURFACES AND FOLIATIONS OF THE ENERGY LEVELS -- 1. Regularization of the singularities -- 1.1. Introduction of McGehee's coordinates -- 1.2. Regularization of collision -- 1.3. Regularization of infinity -- 1.4. The manifolds W[sup(u,s)](S[sup(+, )]) -- 2. Separatrix surfaces -- 2.1. Simple separatrix surfaces -- 2.2. Characterization of the separatrix surfaces -- 3. Simple foliations -- 3.1. Simple energy values -- 3.2. Classification of the simple foliations -- 3.3. Stability of the simple foliations -- CHAPTER IV: THE PERTURBEB HAMILTONIAN -- 1. Persistence of the separatrix structures -- 1.1. Persistence of the circular orbits -- 1.2. Persistence of the singularity manifolds -- 1.3. Persistence of the invariant manifolds associated to invariant circles -- 2. Transversal ejection - collision orbits -- 3. Persistence of invariant tori and cylinders -- 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 | Hamiltonian systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Perturbation (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Foliations (Mathematics). |
| 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 | Nunes, Ana. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Llibre, Jaume |
| Title | Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1994 |
| International Standard Book Number | 9780821825815 |
| 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=3113951">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113951</a> |
| Public note | Click to View |
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