Generic Bifurications for Involutary Area Preserving Maps. (Record no. 69162)
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| fixed length control field | 03748nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113629 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124547.0 |
| 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 | 240724s1982 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470406820 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821822722 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113629 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113629 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10882288 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981209 |
| 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 | QA614.8 -- .R56 1983eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;514/.74 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Rimmer, Russell J. |
| 245 10 - TITLE STATEMENT | |
| Title | Generic Bifurications for Involutary Area Preserving Maps. |
| 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 | 1982. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1983. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (174 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.41 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- TABLE OF CONTENTS -- CHAPTER 1. INTRODUCTION -- CHAPTER 2. PRELIMINARIES -- 2.1 Terminology and Some Useful Results -- 2.1.1 Basic Ideas -- 2.1.2 The Weak and the Strong Topologies -- 2.1.3 Transversality -- 2.2 A Curve of Fixed Points -- CHAPTER 3. BIFURCATION FROM A SYMMETRIC FIXED POINT WITH MULTIPLIERS ± 1 -- 3.1 A Generating Function for a Family of Area Preserving Maps -- 3.2 The Involutory Property and the Generating Functions -- 3.3 Fixed Points Near a Symmetric Fixed Point with Multipliers 1 -- 3.4 Periodic Points Near a Symmetric Fixed Point with Multipliers -1 -- CHAPTER 4. CONDITIONS ON GENERATING FUNCTIONS OCCUR GENERICALLY -- 4.1 A Dense, Open Set of Generating Functions -- 4.2 Preliminary Perturbations -- 4.3 D[sub(3)] and D[sub(4)] are Dense and Open -- 4.4 D[sub(1)] is Dense and Open -- CHAPTER 5. BIFURCATION FROM A SYMMETRIC FIXED POINT u[sub(o)] OF φ[sub(e)][sub(o)] WITH MULTIPLIERS WHICH ARE n[sup(th)] PRIME ROOTS OF UNITY, FOR n ≥ 3 -- 5.1 Periodic Points Bifurcating from (u[sub(o)], e[sub(o)]) -- CHAPTER 6. NORMALISATION OF A FAMILY OF INVOLUTORY AREA PRESERVING MAPS -- 6.1 The Linear Transformation -- 6.2 Normalisation of φ up to Terms of Order n 1 -- 6.3 Polar Coordinates -- CHAPTER 7. GENERIC BIFURCATIONS -- 7.1 The Generic Result -- 7.2 Proof of Lemma 7.1.2 when the Multipliers of φ[sub(e)][sub(o)] at u[sub(o) are 1 -- 7.3 Perturbation when the Multipliers of φ[sub(e)][sub(o)] at u[sub(o)]are n[sup(th)] prime Roots of Unity for n ≥ 2 eo ° 123 -- CHAPTER 8. FAMILIES OF INVOLUTORY AREA PRESERVING MAPS AND SYMMETRIC HAMILTONIAN SYSTEMS -- 8.1 Symmetric Hamiltonian Systems -- 8.2 Existence of Families of Involutory Area Preserving Maps -- APPENDIX 1 PROOFS OF TWO RESULTS USED IN CHAPTER 4 -- A1.1Proof of Proposition 4.2.2(ii) -- A1.2 Proof of Lemma 4.2.4 -- 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 | Differentiable dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mappings (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Bifurcation theory. |
| 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. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Rimmer, Russell J. |
| Title | Generic Bifurications for Involutary Area Preserving Maps |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1982 |
| International Standard Book Number | 9780821822722 |
| 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=3113629">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113629</a> |
| Public note | Click to View |
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