Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem : (Record no. 69767)
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| fixed length control field | 04470nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114236 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124603.0 |
| 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 | 240724s2005 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470404451 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821838242 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114236 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114236 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039855 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981760 |
| 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 | QA614.833 -- .D45 2006eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;515/.39 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Delshams, Amadeu. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem : |
| Remainder of title | Heuristics and Rigorous Verification on a Model. |
| 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 | 2005. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (158 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.179 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Heuristic discussion of the mechanism -- 2.1. Integrable systems, resonances, secondary tori -- 2.2. Heuristic description of the mechanism -- Chapter 3. A simple model -- Chapter 4. Statement of rigorous results -- Chapter 5. Notation and definitions, resonances -- Chapter 6. Geometric features of the unperturbed problem -- Chapter 7. Persistence of the normally hyperbolic invariant manifold and its stable and unstable manifolds -- 7.1. Explicit calculations of the perturbed invariant manifold -- Chapter 8. The dynamics in Ã[sub(ε)] -- 8.1. A system of coordinates for Ã[sub(ε)] -- 8.2. Calculation of the reduced Hamiltonian -- 8.3. Isolating the resonances (resonant averaging) -- 8.3.1. The infinitesimal equations for averaging -- 8.3.2. The main averaging result, Theorem 8.9 -- 8.3.3. Proof of Theorem 8.9 -- 8.4. The non-resonant region (KAM theorem) -- 8.4.1. Some results on Diophantine approximation -- 8.4.2. The KAM Theorem for twist maps -- 8.5. Analyzing the resonances -- 8.5.1. Resonances of order 3 and higher -- 8.5.2. Preliminary analysis of resonances of order one or two -- 8.5.3. Primary and secondary tori near the first and second order resonances -- 8.5.4. Proof of Theorem 8.30 and Corollary 8.31 -- 8.5.5. Existence of stable and unstable manifolds of periodic orbits -- Chapter 9. The scattering map -- 9.1. Some generalities about the scattering map -- 9.2. The scattering map in our model: definition and computation -- Chapter 10. Existence of transition chains -- 10.1. Transition chains -- 10.2. The scattering map and the transversality of heteroclinic intersections -- 10.2.1. The non-resonant region and resonances of order 3 and higher -- 10.2.2. Resonances of first order -- 10.2.3. Resonances of order 2. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10.3. Existence of transition chains to objects of different topological types -- Chapter 11. Orbits shadowing the transition chains and proof of theorem 4.1 -- Chapter 12. Conclusions and remarks -- 12.1. The role of secondary tori and the speed of diffusion -- 12.2. Comparison with [DLS00] -- 12.3. Heuristics on the genericity properties of the hypothesis and the phenomena -- 12.4. The hypothesis of polynomial perturbations -- 12.5. Involving other objects -- 12.6. Variational methods -- 12.7. Diffusion times -- Chapter 13. An example -- Acknowledgments -- 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 | Nonholonomic dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations -- Qualitative theory. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | de la Llave, Rafael. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Seara, Tere M. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Delshams, Amadeu |
| Title | Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2005 |
| International Standard Book Number | 9780821838242 |
| 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=3114236">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114236</a> |
| Public note | Click to View |
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