Smooth invariant manifolds and normal forms:
This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1994
|
| Schriftenreihe: | World Scientific series on nonlinear science. Series A, Monographs and treatises
v. 7 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the vicinity of a rest point and a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given |
| Beschreibung: | xii, 384 p. ill |
| ISBN: | 9789812798749 |
Internformat
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| 100 | 1 | |a Bronshteĭn, I. U. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Smooth invariant manifolds and normal forms |c I.U. Bronstein and A. Ya. Kopanskii |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c1994 | |
| 300 | |a xii, 384 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a World Scientific series on nonlinear science. Series A, Monographs and treatises |v v. 7 | |
| 520 | |a This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the vicinity of a rest point and a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given | ||
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Bifurcation theory | |
| 650 | 4 | |a Normal forms (Mathematics) | |
| 650 | 4 | |a Invariant manifolds | |
| 650 | 0 | 7 | |a Invarianz |0 (DE-588)4120518-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Normalform |0 (DE-588)4172025-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Glatte Mannigfaltigkeit |0 (DE-588)4157471-0 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Invarianz |0 (DE-588)4120518-2 |D s |
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| 700 | 1 | |a Kopanskiĭ, A. I͡A. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Bronshteĭn, I. U. |
| author_facet | Bronshteĭn, I. U. |
| author_role | aut |
| author_sort | Bronshteĭn, I. U. |
| author_variant | i u b iu iub |
| building | Verbundindex |
| bvnumber | BV044635981 |
| classification_rvk | SK 350 SK 810 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005053 (OCoLC)1012710984 (DE-599)BVBBV044635981 |
| dewey-full | 514.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635981 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:48Z |
| institution | BVB |
| isbn | 9789812798749 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033953 |
| oclc_num | 1012710984 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xii, 384 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| spelling | Bronshteĭn, I. U. Verfasser aut Smooth invariant manifolds and normal forms I.U. Bronstein and A. Ya. Kopanskii Singapore World Scientific Pub. Co. c1994 xii, 384 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science. Series A, Monographs and treatises v. 7 This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold. Its main purpose is to present, as completely as possible, the basic results concerning the existence of stable and unstable local manifolds and the recent advancements in the theory of finitely smooth normal forms of vector fields and diffeomorphisms in the vicinity of a rest point and a periodic trajectory. A summary of the results obtained so far in the investigation of dynamical systems near an arbitrary invariant submanifold is also given Differentiable dynamical systems Bifurcation theory Normal forms (Mathematics) Invariant manifolds Invarianz (DE-588)4120518-2 gnd rswk-swf Normalform (DE-588)4172025-8 gnd rswk-swf Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd rswk-swf Glatte Mannigfaltigkeit (DE-588)4157471-0 s Invarianz (DE-588)4120518-2 s Normalform (DE-588)4172025-8 s DE-604 Kopanskiĭ, A. I͡A. Sonstige oth Erscheint auch als Druck-Ausgabe 9789810215729 Erscheint auch als Druck-Ausgabe 981021572X http://www.worldscientific.com/worldscibooks/10.1142/2184#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Bronshteĭn, I. U. Smooth invariant manifolds and normal forms Differentiable dynamical systems Bifurcation theory Normal forms (Mathematics) Invariant manifolds Invarianz (DE-588)4120518-2 gnd Normalform (DE-588)4172025-8 gnd Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd |
| subject_GND | (DE-588)4120518-2 (DE-588)4172025-8 (DE-588)4157471-0 |
| title | Smooth invariant manifolds and normal forms |
| title_auth | Smooth invariant manifolds and normal forms |
| title_exact_search | Smooth invariant manifolds and normal forms |
| title_full | Smooth invariant manifolds and normal forms I.U. Bronstein and A. Ya. Kopanskii |
| title_fullStr | Smooth invariant manifolds and normal forms I.U. Bronstein and A. Ya. Kopanskii |
| title_full_unstemmed | Smooth invariant manifolds and normal forms I.U. Bronstein and A. Ya. Kopanskii |
| title_short | Smooth invariant manifolds and normal forms |
| title_sort | smooth invariant manifolds and normal forms |
| topic | Differentiable dynamical systems Bifurcation theory Normal forms (Mathematics) Invariant manifolds Invarianz (DE-588)4120518-2 gnd Normalform (DE-588)4172025-8 gnd Glatte Mannigfaltigkeit (DE-588)4157471-0 gnd |
| topic_facet | Differentiable dynamical systems Bifurcation theory Normal forms (Mathematics) Invariant manifolds Invarianz Normalform Glatte Mannigfaltigkeit |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2184#t=toc |
| work_keys_str_mv | AT bronshteiniu smoothinvariantmanifoldsandnormalforms AT kopanskiiaia smoothinvariantmanifoldsandnormalforms |