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Record Nr. |
UNINA9910479990403321 |
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Autore |
Panazzolo Daniel <1970-> |
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Titolo |
Desingularization of nilpotent singularities in families of planar vector fields / / Daniel Panazzolo |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2002] |
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©2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 753 |
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Disciplina |
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Soggetti |
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Vector fields |
Singularities (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages 107-108) and index. |
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Nota di contenuto |
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""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"" |
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