Global Bifurcations and Chaos: Analytical Methods
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schriftenreihe: | Applied Mathematical Sciences
73 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory |
| Beschreibung: | 1 Online-Ressource (XIV, 495 p) |
| ISBN: | 9781461210429 9781461210412 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-1042-9 |
Internformat
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| 500 | |a Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory | ||
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Datensatz im Suchindex
| _version_ | 1804153090697330688 |
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| any_adam_object | |
| author | Wiggins, Stephen ca. 20./21. Jh |
| author_GND | (DE-588)1247764664 |
| author_facet | Wiggins, Stephen ca. 20./21. Jh |
| author_role | aut |
| author_sort | Wiggins, Stephen ca. 20./21. Jh |
| author_variant | s w sw |
| building | Verbundindex |
| bvnumber | BV042419722 |
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| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1042-9 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461210429 9781461210412 |
| issn | 0066-5452 |
| language | English |
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| spelling | Wiggins, Stephen ca. 20./21. Jh. Verfasser (DE-588)1247764664 aut Global Bifurcations and Chaos Analytical Methods by Stephen Wiggins New York, NY Springer New York 1988 1 Online-Ressource (XIV, 495 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 73 0066-5452 Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Globale Verzweigung (DE-588)4374566-0 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s Chaotisches System (DE-588)4316104-2 s 1\p DE-604 Nichtlineares dynamisches System (DE-588)4126142-2 s Chaos (DE-588)4191419-3 s 2\p DE-604 Dynamisches System (DE-588)4013396-5 s 3\p DE-604 Chaostheorie (DE-588)4009754-7 s 4\p DE-604 Globale Verzweigung (DE-588)4374566-0 s 5\p DE-604 https://doi.org/10.1007/978-1-4612-1042-9 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wiggins, Stephen ca. 20./21. Jh Global Bifurcations and Chaos Analytical Methods Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaostheorie (DE-588)4009754-7 gnd Globale Verzweigung (DE-588)4374566-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamisches System (DE-588)4013396-5 gnd Chaos (DE-588)4191419-3 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4009754-7 (DE-588)4374566-0 (DE-588)4078889-1 (DE-588)4316104-2 (DE-588)4013396-5 (DE-588)4191419-3 |
| title | Global Bifurcations and Chaos Analytical Methods |
| title_auth | Global Bifurcations and Chaos Analytical Methods |
| title_exact_search | Global Bifurcations and Chaos Analytical Methods |
| title_full | Global Bifurcations and Chaos Analytical Methods by Stephen Wiggins |
| title_fullStr | Global Bifurcations and Chaos Analytical Methods by Stephen Wiggins |
| title_full_unstemmed | Global Bifurcations and Chaos Analytical Methods by Stephen Wiggins |
| title_short | Global Bifurcations and Chaos |
| title_sort | global bifurcations and chaos analytical methods |
| title_sub | Analytical Methods |
| topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaostheorie (DE-588)4009754-7 gnd Globale Verzweigung (DE-588)4374566-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Chaotisches System (DE-588)4316104-2 gnd Dynamisches System (DE-588)4013396-5 gnd Chaos (DE-588)4191419-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Nichtlineares dynamisches System Chaostheorie Globale Verzweigung Verzweigung Mathematik Chaotisches System Dynamisches System Chaos |
| url | https://doi.org/10.1007/978-1-4612-1042-9 |
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