LEADER 02722nam 2200565 450 001 9910479990403321 005 20170822131656.0 010 $a1-4704-0346-3 035 $a(CKB)3360000000464937 035 $a(EBL)3114550 035 $a(SSID)ssj0000973423 035 $a(PQKBManifestationID)11539963 035 $a(PQKBTitleCode)TC0000973423 035 $a(PQKBWorkID)10961025 035 $a(PQKB)10549092 035 $a(MiAaPQ)EBC3114550 035 $a(PPN)195416392 035 $a(EXLCZ)993360000000464937 100 $a20020226h20022002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDesingularization of nilpotent singularities in families of planar vector fields /$fDaniel Panazzolo 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002] 210 4$dİ2002 215 $a1 online resource (122 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 753 300 $aDescription based upon print version of record. 311 $a0-8218-2927-0 320 $aIncludes bibliographical references (pages 107-108) and index. 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Background Material""; ""2.1. Monomial fields""; ""2.2. Blowing-up and Strict Transforms""; ""2.3. Appendix 1: Closure of a Leaf""; ""2.4. Appendix 2: Rectification""; ""2.5. Appendix 3: Strict Transform of a Vector Field""; ""Chapter 3. Nilpotent Families and Trivialization""; ""3.1. Elementary and Nilpotent singularities""; ""3.2. Versal Unfoldings""; ""3.3. Versal Nilpotent Families""; ""Chapter 4. Desingularization of Nilpotent Singularities""; ""4.1. Regular Coverings of Foliated Line Fields""; ""4.2. Local Desingularization Step"" 327 $a""4.3. Global Desingularization""""Chapter 5. The Proof of the Desingularization Theorem""; ""5.1. Ideals of Coefficients and Division Theorem""; ""5.2. Case Studies""; ""Chapter 6. Applications""; ""6.1. Application 1: Limit Periodic Sets""; ""6.2. Application 2: Non-existence of Canard Solutions""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 753. 606 $aVector fields 606 $aSingularities (Mathematics) 608 $aElectronic books. 615 0$aVector fields. 615 0$aSingularities (Mathematics) 676 $a510 s 676 $a514/.72 700 $aPanazzolo$b Daniel$f1970-$0936058 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479990403321 996 $aDesingularization of nilpotent singularities in families of planar vector fields$92108731 997 $aUNINA