LEADER 03333nam 2200589 450 001 9910811629703321 005 20170816143245.0 010 $a1-4704-0589-X 035 $a(CKB)3360000000465159 035 $a(EBL)3114238 035 $a(SSID)ssj0000889268 035 $a(PQKBManifestationID)11523079 035 $a(PQKBTitleCode)TC0000889268 035 $a(PQKBWorkID)10876891 035 $a(PQKB)10103137 035 $a(MiAaPQ)EBC3114238 035 $a(RPAM)16294643 035 $a(PPN)195418654 035 $a(EXLCZ)993360000000465159 100 $a20150416h20102010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTopological classification of families of diffeomorphisms without small divisors /$fJavier Ribo?n 210 1$aProvidence, Rhode Island :$cAmerican Psychological Association,$d2010. 210 4$dİ2010 215 $a1 online resource (166 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vv.207 300 $aDescription based upon print version of record. 311 $a0-8218-4748-1 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""9.2. Preparation of 1 and 2""""9.3. Shaping the domains""; ""9.4. Base transversals""; ""9.5. The M-interpolation process""; ""9.6. Regions and their limiting curves""; ""9.7. Conjugating a diffeomorphism and its normal form""; ""9.8. Comparing tg-conjugations""; ""List of Notations""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society 606 $aTopological dynamics 606 $aDiffeomorphisms 606 $aDifferentiable dynamical systems 615 0$aTopological dynamics. 615 0$aDiffeomorphisms. 615 0$aDifferentiable dynamical systems. 676 $a515.39 700 $aRibo?n$b Javier$f1974-$01622164 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811629703321 996 $aTopological classification of families of diffeomorphisms without small divisors$93955854 997 $aUNINA