03333nam 2200589 450 991078885900332120170816143245.01-4704-0589-X(CKB)3360000000465159(EBL)3114238(SSID)ssj0000889268(PQKBManifestationID)11523079(PQKBTitleCode)TC0000889268(PQKBWorkID)10876891(PQKB)10103137(MiAaPQ)EBC3114238(RPAM)16294643(PPN)195418654(EXLCZ)99336000000046515920150416h20102010 uy 0engur|n|---|||||txtccrTopological classification of families of diffeomorphisms without small divisors /Javier RibónProvidence, Rhode Island :American Psychological Association,2010.©20101 online resource (166 p.)Memoirs of the American Mathematical Society ;v.207Description based upon print version of record.0-8218-4748-1 Includes bibliographical references and index.""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""Memoirs of the American Mathematical SocietyTopological dynamicsDiffeomorphismsDifferentiable dynamical systemsTopological dynamics.Diffeomorphisms.Differentiable dynamical systems.515.39Ribón Javier1974-1582091MiAaPQMiAaPQMiAaPQBOOK9910788859003321Topological classification of families of diffeomorphisms without small divisors3864137UNINA