Desingularization of nilpotent singularities in families of planar vector fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2002
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
753 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 158, number 753 (end of volume)." |
| Beschreibung: | VIII, 108 S. graph. Darst. |
| ISBN: | 0821829270 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV014410862 | ||
| 003 | DE-604 | ||
| 005 | 20230705 | ||
| 007 | t | ||
| 008 | 020603s2002 xxud||| |||| 00||| eng d | ||
| 010 | |a 2002018392 | ||
| 020 | |a 0821829270 |9 0-8218-2927-0 | ||
| 035 | |a (OCoLC)49283933 | ||
| 035 | |a (DE-599)BVBBV014410862 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-91G |a DE-355 |a DE-739 |a DE-29T |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 514/.72 |2 21 | |
| 082 | 0 | |a 510 |2 21 | |
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 084 | |a MAT 535f |2 stub | ||
| 100 | 1 | |a Panazzolo, Daniel |d 1970- |e Verfasser |0 (DE-588)1146371381 |4 aut | |
| 245 | 1 | 0 | |a Desingularization of nilpotent singularities in families of planar vector fields |c Daniel Panazzolo |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2002 | |
| 300 | |a VIII, 108 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 753 | |
| 500 | |a "Volume 158, number 753 (end of volume)." | ||
| 650 | 7 | |a Singulariteiten |2 gtt | |
| 650 | 4 | |a Singularities (Mathematics) | |
| 650 | 4 | |a Vector fields | |
| 650 | 0 | 7 | |a Vektorfeld |0 (DE-588)4139571-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Auflösung von Singularitäten |0 (DE-588)4181537-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Auflösung von Singularitäten |0 (DE-588)4181537-3 |D s |
| 689 | 0 | 1 | |a Vektorfeld |0 (DE-588)4139571-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 753 |w (DE-604)BV008000141 |9 753 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856300&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009856300 | |
Datensatz im Suchindex
| _version_ | 1812316825011093504 |
|---|---|
| adam_text |
Contents
Chapter 1. Introduction 1
Chapter 2. Background Material 9
2.1. Monomial fields 9
2.2. Blowing up and Strict Transforms 16
2.3. Appendix 1: Closure of a Leaf 22
2.4. Appendix 2: Rectification 26
2.5. Appendix 3: Strict Transform of a Vector Field 29
Chapter 3. Nilpotent. Families and Trivialization 33
3.1. Elementary and Nilpotent singularities 33
3.2. Versal Unfolding.s 40
3.3. Versal Nilpotent Families 47
Chapter 4. Desingularization of Nilpotent Singularities 51
4.1. Regular Coverings of Foliated Line Fields 51
4.2. Local Desingularization Step 53
4.3. Global Desingularization 63
Chapter 5. The Proof of the Desingularization Theorem 71
5.1. Ideals of Coefficients and Division Theorem 71
5.2. Case Studies 75
Chapter 6. Applications 87
6.1. Application 1: Limit Periodic Sets 87
6.2. Application 2: Non existence of Canard Solutions 96
Bibliography 107
vii |
| any_adam_object | 1 |
| author | Panazzolo, Daniel 1970- |
| author_GND | (DE-588)1146371381 |
| author_facet | Panazzolo, Daniel 1970- |
| author_role | aut |
| author_sort | Panazzolo, Daniel 1970- |
| author_variant | d p dp |
| building | Verbundindex |
| bvnumber | BV014410862 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 535f |
| ctrlnum | (OCoLC)49283933 (DE-599)BVBBV014410862 |
| dewey-full | 514/.72 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514/.72 510 |
| dewey-search | 514/.72 510 |
| dewey-sort | 3514 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV014410862</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230705</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020603s2002 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2002018392</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821829270</subfield><subfield code="9">0-8218-2927-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)49283933</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014410862</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.72</subfield><subfield code="2">21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 535f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Panazzolo, Daniel</subfield><subfield code="d">1970-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1146371381</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Desingularization of nilpotent singularities in families of planar vector fields</subfield><subfield code="c">Daniel Panazzolo</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 108 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">753</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Volume 158, number 753 (end of volume)."</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Singulariteiten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singularities (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vector fields</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Auflösung von Singularitäten</subfield><subfield code="0">(DE-588)4181537-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Auflösung von Singularitäten</subfield><subfield code="0">(DE-588)4181537-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">753</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">753</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856300&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009856300</subfield></datafield></record></collection> |
| id | DE-604.BV014410862 |
| illustrated | Illustrated |
| indexdate | 2024-10-08T04:00:08Z |
| institution | BVB |
| isbn | 0821829270 |
| language | English |
| lccn | 2002018392 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009856300 |
| oclc_num | 49283933 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-83 DE-188 |
| physical | VIII, 108 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Panazzolo, Daniel 1970- Verfasser (DE-588)1146371381 aut Desingularization of nilpotent singularities in families of planar vector fields Daniel Panazzolo Providence, R.I. American Mathematical Society 2002 VIII, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 753 "Volume 158, number 753 (end of volume)." Singulariteiten gtt Singularities (Mathematics) Vector fields Vektorfeld (DE-588)4139571-2 gnd rswk-swf Auflösung von Singularitäten (DE-588)4181537-3 gnd rswk-swf Auflösung von Singularitäten (DE-588)4181537-3 s Vektorfeld (DE-588)4139571-2 s DE-604 Memoirs of the American Mathematical Society 753 (DE-604)BV008000141 753 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856300&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Panazzolo, Daniel 1970- Desingularization of nilpotent singularities in families of planar vector fields Memoirs of the American Mathematical Society Singulariteiten gtt Singularities (Mathematics) Vector fields Vektorfeld (DE-588)4139571-2 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| subject_GND | (DE-588)4139571-2 (DE-588)4181537-3 |
| title | Desingularization of nilpotent singularities in families of planar vector fields |
| title_auth | Desingularization of nilpotent singularities in families of planar vector fields |
| title_exact_search | Desingularization of nilpotent singularities in families of planar vector fields |
| title_full | Desingularization of nilpotent singularities in families of planar vector fields Daniel Panazzolo |
| title_fullStr | Desingularization of nilpotent singularities in families of planar vector fields Daniel Panazzolo |
| title_full_unstemmed | Desingularization of nilpotent singularities in families of planar vector fields Daniel Panazzolo |
| title_short | Desingularization of nilpotent singularities in families of planar vector fields |
| title_sort | desingularization of nilpotent singularities in families of planar vector fields |
| topic | Singulariteiten gtt Singularities (Mathematics) Vector fields Vektorfeld (DE-588)4139571-2 gnd Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| topic_facet | Singulariteiten Singularities (Mathematics) Vector fields Vektorfeld Auflösung von Singularitäten |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856300&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT panazzolodaniel desingularizationofnilpotentsingularitiesinfamiliesofplanarvectorfields |