02722nam 2200565 450 991047999040332120170822131656.01-4704-0346-3(CKB)3360000000464937(EBL)3114550(SSID)ssj0000973423(PQKBManifestationID)11539963(PQKBTitleCode)TC0000973423(PQKBWorkID)10961025(PQKB)10549092(MiAaPQ)EBC3114550(PPN)195416392(EXLCZ)99336000000046493720020226h20022002 uy| 0engur|n|---|||||txtccrDesingularization of nilpotent singularities in families of planar vector fields /Daniel PanazzoloProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (122 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 753Description based upon print version of record.0-8218-2927-0 Includes bibliographical references (pages 107-108) and index.""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""""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""Memoirs of the American Mathematical Society ;no. 753.Vector fieldsSingularities (Mathematics)Electronic books.Vector fields.Singularities (Mathematics)510 s514/.72Panazzolo Daniel1970-936058MiAaPQMiAaPQMiAaPQBOOK9910479990403321Desingularization of nilpotent singularities in families of planar vector fields2108731UNINA