Topological classification of families of diffeomorphisms without small divisors / / Javier Ribón

• Record Nr.: UNINA9910480095803321
• Autore: Ribón Javier <1974->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Psychological Association, , 2010; ©2010
• ISBN: 1-4704-0589-X
• Descrizione fisica: 1 online resource (166 p.)
• Collana: Memoirs of the American Mathematical Society ; ; v.207
• Disciplina: 515.39
• Soggetti: Topological dynamics; Diffeomorphisms; Differentiable dynamical systems; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Preface""; ""Chapter 1. Outline of the Monograph""; ""Chapter 2. Flower Type Vector Fields""; ""2.1. Definition and basic properties""; ""2.2. Families of vector fields without small divisors""; ""Chapter 3. A Clockwork Orange""; ""3.1. Exterior dynamics""; ""3.2. The magnifying glass""; ""Chapter 4. The T-sets""; ""4.1. Unstable set and bi-tangent cords""; ""4.2. Dynamical instability""; ""4.3. Disassembling the graph""; ""Chapter 5. The Long Limits""; ""5.1. Setup and non-oscillation properties""; ""5.2. Definition of the Long Limits""; ""5.3. Structure of the Long Limits""; ""5.4. Evolution of the Long Limits""""Chapter 6. Topological Conjugation of (NSD) Vector Fields""; ""6.1. Orientation""; ""6.2. Comparing residues""; ""6.3. Topological invariants""; ""Chapter 7. Families of Diffeomorphisms without Small Divisors""; ""7.1. Normal form and residues""; ""7.2. Comparing a diffeomorphism and its normal form""; ""7.3. Long orbits""; ""Chapter 8. Topological Invariants of (NSD) Diffeomorphisms""; ""8.1. Topological invariants""; ""8.2. Theorem of topological conjugation""; ""Chapter 9. Tangential Conjugations""; ""9.1. Plan of the chapter""; ""9.2. Preparation of 1 and 2""""9.3. Shaping the domains""; ""9.4. Base transversals""; ""9.5. The M-interpolation process""; ""9.6. Regions and their limiting curves""; ""9.7. Conjugating a diffeomorphism and its normal form""; ""9.8. Comparing tg-conjugations""; ""List of Notations""; ""Bibliography""; ""Index""