Normal forms and bifurcation of planar vector fields:
This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 472 pages) |
| ISBN: | 9780511665639 |
| DOI: | 10.1017/CBO9780511665639 |
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| 245 | 1 | 0 | |a Normal forms and bifurcation of planar vector fields |c Shui-Nee Chow, Chengzhi Li, Duo Wang |
| 246 | 1 | 3 | |a Normal Forms & Bifurcation of Planar Vector Fields |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1994 | |
| 300 | |a 1 online resource (viii, 472 pages) | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Ch. 1. Center Manifolds -- Ch. 2. Normal Forms -- Ch. 3. Codimension One Bifurcations -- Ch. 4. Codimension Two Bifurcations -- Ch. 5. Bifurcations with Codimension Higher than Two | |
| 520 | |a This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations | ||
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| 650 | 4 | |a Vector fields | |
| 650 | 4 | |a Normal forms (Mathematics) | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Chow, Shui-Nee |
| author_facet | Chow, Shui-Nee |
| author_role | aut |
| author_sort | Chow, Shui-Nee |
| author_variant | s n c snc |
| building | Verbundindex |
| bvnumber | BV043945696 |
| classification_rvk | SK 350 SK 520 |
| collection | ZDB-20-CBO |
| contents | Ch. 1. Center Manifolds -- Ch. 2. Normal Forms -- Ch. 3. Codimension One Bifurcations -- Ch. 4. Codimension Two Bifurcations -- Ch. 5. Bifurcations with Codimension Higher than Two |
| ctrlnum | (ZDB-20-CBO)CR9780511665639 (OCoLC)849910621 (DE-599)BVBBV043945696 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511665639 |
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| id | DE-604.BV043945696 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511665639 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354667 |
| oclc_num | 849910621 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (viii, 472 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Chow, Shui-Nee Verfasser aut Normal forms and bifurcation of planar vector fields Shui-Nee Chow, Chengzhi Li, Duo Wang Normal Forms & Bifurcation of Planar Vector Fields Cambridge Cambridge University Press 1994 1 online resource (viii, 472 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Ch. 1. Center Manifolds -- Ch. 2. Normal Forms -- Ch. 3. Codimension One Bifurcations -- Ch. 4. Codimension Two Bifurcations -- Ch. 5. Bifurcations with Codimension Higher than Two This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations Bifurcation theory Vector fields Normal forms (Mathematics) Planares Vektorfeld (DE-588)4261750-9 gnd rswk-swf Normalform (DE-588)4172025-8 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Planares Vektorfeld (DE-588)4261750-9 s Verzweigung Mathematik (DE-588)4078889-1 s 1\p DE-604 Normalform (DE-588)4172025-8 s 2\p DE-604 Li, Chengzhi Sonstige oth Wang, Duo Sonstige oth Erscheint auch als Druckausgabe 978-0-521-10223-0 Erscheint auch als Druckausgabe 978-0-521-37226-8 https://doi.org/10.1017/CBO9780511665639 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chow, Shui-Nee Normal forms and bifurcation of planar vector fields Ch. 1. Center Manifolds -- Ch. 2. Normal Forms -- Ch. 3. Codimension One Bifurcations -- Ch. 4. Codimension Two Bifurcations -- Ch. 5. Bifurcations with Codimension Higher than Two Bifurcation theory Vector fields Normal forms (Mathematics) Planares Vektorfeld (DE-588)4261750-9 gnd Normalform (DE-588)4172025-8 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4261750-9 (DE-588)4172025-8 (DE-588)4078889-1 |
| title | Normal forms and bifurcation of planar vector fields |
| title_alt | Normal Forms & Bifurcation of Planar Vector Fields |
| title_auth | Normal forms and bifurcation of planar vector fields |
| title_exact_search | Normal forms and bifurcation of planar vector fields |
| title_full | Normal forms and bifurcation of planar vector fields Shui-Nee Chow, Chengzhi Li, Duo Wang |
| title_fullStr | Normal forms and bifurcation of planar vector fields Shui-Nee Chow, Chengzhi Li, Duo Wang |
| title_full_unstemmed | Normal forms and bifurcation of planar vector fields Shui-Nee Chow, Chengzhi Li, Duo Wang |
| title_short | Normal forms and bifurcation of planar vector fields |
| title_sort | normal forms and bifurcation of planar vector fields |
| topic | Bifurcation theory Vector fields Normal forms (Mathematics) Planares Vektorfeld (DE-588)4261750-9 gnd Normalform (DE-588)4172025-8 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Bifurcation theory Vector fields Normal forms (Mathematics) Planares Vektorfeld Normalform Verzweigung Mathematik |
| url | https://doi.org/10.1017/CBO9780511665639 |
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