Introduction to Structurally Stable Systems of Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1992
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on a one year course of lectures on structural stability of differential equations which the author has given for the past several years at the Department of Mathematics and Mechanics at the University of Leningrad. The theory of structural stability has been developed intensively over the last 25 years. This theory is now a vast domain of mathematics, having close relations to the classical qualitative theory of differential equations, to differential topology, and to the analysis on manifolds. Evidently it is impossible to present a complete and detailed account of all fundamental results of the theory during a one year course. So the purpose of the course of lectures (and also the purpose of this book) was more modest. The author was going to give an introduction to the language of the theory of structural stability, to formulate its principal results, and to introduce the students (and also the readers of the book) to some of the main methods of this theory. One can select two principal aspects of modern theory of structural stability (of course there are some conventions attached to this statement). The first one, let us call it the "geometric" aspect, deals mainly with the description of the picture of trajectories of a system; and the second, let us say the "analytic" one, has in its centre the method for solving functional equations to find invariant manifolds, conjugating homeomorphisms, and so forth |
| Beschreibung: | 1 Online-Ressource (XI, 188 p) |
| ISBN: | 9783034886437 9783034897129 |
| DOI: | 10.1007/978-3-0348-8643-7 |
Internformat
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Datensatz im Suchindex
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| author | Piljugin, Sergej Ju. 1947- |
| author_GND | (DE-588)121192865 |
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| author_sort | Piljugin, Sergej Ju. 1947- |
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| building | Verbundindex |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8643-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034886437 9783034897129 |
| language | English |
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| spelling | Piljugin, Sergej Ju. 1947- Verfasser (DE-588)121192865 aut Introduction to Structurally Stable Systems of Differential Equations by Sergei Yu. Pilyugin Basel Birkhäuser Basel 1992 1 Online-Ressource (XI, 188 p) txt rdacontent c rdamedia cr rdacarrier This book is based on a one year course of lectures on structural stability of differential equations which the author has given for the past several years at the Department of Mathematics and Mechanics at the University of Leningrad. The theory of structural stability has been developed intensively over the last 25 years. This theory is now a vast domain of mathematics, having close relations to the classical qualitative theory of differential equations, to differential topology, and to the analysis on manifolds. Evidently it is impossible to present a complete and detailed account of all fundamental results of the theory during a one year course. So the purpose of the course of lectures (and also the purpose of this book) was more modest. The author was going to give an introduction to the language of the theory of structural stability, to formulate its principal results, and to introduce the students (and also the readers of the book) to some of the main methods of this theory. One can select two principal aspects of modern theory of structural stability (of course there are some conventions attached to this statement). The first one, let us call it the "geometric" aspect, deals mainly with the description of the picture of trajectories of a system; and the second, let us say the "analytic" one, has in its centre the method for solving functional equations to find invariant manifolds, conjugating homeomorphisms, and so forth Mathematics Global analysis (Mathematics) Analysis Mathematik Strukturelle Stabilität (DE-588)4295517-8 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 gnd rswk-swf Differentialgleichungssystem (DE-588)4121137-6 s Strukturelle Stabilität (DE-588)4295517-8 s 1\p DE-604 Stabilität (DE-588)4056693-6 s 2\p DE-604 Differentialgleichung (DE-588)4012249-9 s 3\p DE-604 https://doi.org/10.1007/978-3-0348-8643-7 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Piljugin, Sergej Ju. 1947- Introduction to Structurally Stable Systems of Differential Equations Mathematics Global analysis (Mathematics) Analysis Mathematik Strukturelle Stabilität (DE-588)4295517-8 gnd Differentialgleichung (DE-588)4012249-9 gnd Stabilität (DE-588)4056693-6 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd |
| subject_GND | (DE-588)4295517-8 (DE-588)4012249-9 (DE-588)4056693-6 (DE-588)4121137-6 |
| title | Introduction to Structurally Stable Systems of Differential Equations |
| title_auth | Introduction to Structurally Stable Systems of Differential Equations |
| title_exact_search | Introduction to Structurally Stable Systems of Differential Equations |
| title_full | Introduction to Structurally Stable Systems of Differential Equations by Sergei Yu. Pilyugin |
| title_fullStr | Introduction to Structurally Stable Systems of Differential Equations by Sergei Yu. Pilyugin |
| title_full_unstemmed | Introduction to Structurally Stable Systems of Differential Equations by Sergei Yu. Pilyugin |
| title_short | Introduction to Structurally Stable Systems of Differential Equations |
| title_sort | introduction to structurally stable systems of differential equations |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Strukturelle Stabilität (DE-588)4295517-8 gnd Differentialgleichung (DE-588)4012249-9 gnd Stabilität (DE-588)4056693-6 gnd Differentialgleichungssystem (DE-588)4121137-6 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Strukturelle Stabilität Differentialgleichung Stabilität Differentialgleichungssystem |
| url | https://doi.org/10.1007/978-3-0348-8643-7 |
| work_keys_str_mv | AT piljuginsergejju introductiontostructurallystablesystemsofdifferentialequations |