Singular perturbations: introduction to system order reduction methods with applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Lecture notes in mathematics
2114 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | Literaturverz. S. 201 - 209 |
| Beschreibung: | 1 Online-Ressource (XIII, 212 S.) graph. Darst. |
| ISBN: | 9783319095707 |
| DOI: | 10.1007/978-3-319-09570-7 |
Internformat
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| 245 | 1 | 0 | |a Singular perturbations |b introduction to system order reduction methods with applications |c Elena Shchepakina ; Vladimir Sobolev ; Michael P. Mortell |
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Datensatz im Suchindex
| _version_ | 1804152742111870976 |
|---|---|
| adam_text | SINGULAR PERTURBATIONS
/ SHCHEPAKINA, ELENA
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SLOW INTEGRAL MANIFOLDS
THE BOOK OF NUMBERS
REPRESENTATIONS OF SLOW INTEGRAL MANIFOLDS
SINGULAR SINGULARLY PERTURBED SYSTEMS
REDUCTION METHODS FOR CHEMICAL SYSTEMS
SPECIFIC CASES
CANARDS AND BLACK SWANS
APPENDIX: PROOFS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SINGULAR PERTURBATIONS
/ SHCHEPAKINA, ELENA
: 2014
ABSTRACT / INHALTSTEXT
THESE LECTURE NOTES PROVIDE A FRESH APPROACH TO INVESTIGATING SINGULARLY
PERTURBED SYSTEMS USING ASYMPTOTIC AND GEOMETRICAL TECHNIQUES. IT GIVES
MANY EXAMPLES AND STEP-BY-STEP TECHNIQUES, WHICH WILL HELP BEGINNERS
MOVE TO A MORE ADVANCED LEVEL. SINGULARLY PERTURBED SYSTEMS APPEAR
NATURALLY IN THE MODELLING OF MANY PROCESSES THAT ARE CHARACTERIZED BY
SLOW AND FAST MOTIONS SIMULTANEOUSLY, FOR EXAMPLE, IN FLUID DYNAMICS AND
NONLINEAR MECHANICS. THIS BOOK’S APPROACH CONSISTS IN SEPARATING OUT
THE SLOW MOTIONS OF THE SYSTEM UNDER INVESTIGATION. THE RESULT IS A
REDUCED DIFFERENTIAL SYSTEM OF LESSER ORDER. HOWEVER, IT INHERITS THE
ESSENTIAL ELEMENTS OF THE QUALITATIVE BEHAVIOUR OF THE ORIGINAL SYSTEM.
SINGULAR PERTURBATIONS DIFFERS FROM OTHER LITERATURE ON THE SUBJECT DUE
TO ITS METHODS AND WIDE RANGE OF APPLICATIONS. IT IS A VALUABLE
REFERENCE FOR SPECIALISTS IN THE AREAS OF APPLIED MATHEMATICS,
ENGINEERING, PHYSICS, BIOLOGY, AS WELL AS ADVANCED UNDERGRADUATES FOR
THE EARLIER PARTS OF THE BOOK, AND GRADUATE STUDENTS FOR THE LATER
CHAPTERS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-09570-7 |
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| isbn | 9783319095707 |
| language | English |
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| spelling | Ščepakina, Elena Verfasser aut Singular perturbations introduction to system order reduction methods with applications Elena Shchepakina ; Vladimir Sobolev ; Michael P. Mortell Cham [u.a.] Springer 2014 1 Online-Ressource (XIII, 212 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2114 Literaturverz. S. 201 - 209 Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 s 1\p DE-604 Sobolev, Vladimir A. Verfasser aut Mortell, Michael P. Verfasser (DE-588)1033786039 aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-09569-1 Lecture notes in mathematics 2114 (DE-604)BV014303148 2114 https://doi.org/10.1007/978-3-319-09570-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027655507&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ščepakina, Elena Sobolev, Vladimir A. Mortell, Michael P. Singular perturbations introduction to system order reduction methods with applications Lecture notes in mathematics Singuläre Störung (DE-588)4055100-3 gnd |
| subject_GND | (DE-588)4055100-3 |
| title | Singular perturbations introduction to system order reduction methods with applications |
| title_auth | Singular perturbations introduction to system order reduction methods with applications |
| title_exact_search | Singular perturbations introduction to system order reduction methods with applications |
| title_full | Singular perturbations introduction to system order reduction methods with applications Elena Shchepakina ; Vladimir Sobolev ; Michael P. Mortell |
| title_fullStr | Singular perturbations introduction to system order reduction methods with applications Elena Shchepakina ; Vladimir Sobolev ; Michael P. Mortell |
| title_full_unstemmed | Singular perturbations introduction to system order reduction methods with applications Elena Shchepakina ; Vladimir Sobolev ; Michael P. Mortell |
| title_short | Singular perturbations |
| title_sort | singular perturbations introduction to system order reduction methods with applications |
| title_sub | introduction to system order reduction methods with applications |
| topic | Singuläre Störung (DE-588)4055100-3 gnd |
| topic_facet | Singuläre Störung |
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