Engineering Applications of Dynamics of Chaos:
The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Vienna
Springer Vienna
1991
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| Schriftenreihe: | CISM International Centre for Mechanical Sciences, Courses and Lectures
319 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given |
| Beschreibung: | 1 Online-Ressource (V, 325 p. 68 illus., 1 illus. in color) |
| ISBN: | 9783709126103 |
| DOI: | 10.1007/978-3-7091-2610-3 |
Internformat
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| 520 | |a The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given | ||
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Datensatz im Suchindex
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| discipline | Physik Mathematik |
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| id | DE-604.BV045187290 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:59Z |
| institution | BVB |
| isbn | 9783709126103 |
| language | English |
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| series2 | CISM International Centre for Mechanical Sciences, Courses and Lectures |
| spelling | Engineering Applications of Dynamics of Chaos edited by W. Szemplinska-Stupnicka, H. Troger Vienna Springer Vienna 1991 1 Online-Ressource (V, 325 p. 68 illus., 1 illus. in color) txt rdacontent c rdamedia cr rdacarrier CISM International Centre for Mechanical Sciences, Courses and Lectures 319 The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given Mathematical and Computational Engineering Classical Mechanics Fluid- and Aerodynamics Theoretical and Applied Mechanics Engineering mathematics Mechanics Mechanics, applied Anwendung (DE-588)4196864-5 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s Anwendung (DE-588)4196864-5 s 1\p DE-604 Szemplinska-Stupnicka, W. edt Troger, H. edt Erscheint auch als Druck-Ausgabe 9783211823286 Erscheint auch als Druck-Ausgabe 9783709126110 https://doi.org/10.1007/978-3-7091-2610-3 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Engineering Applications of Dynamics of Chaos Mathematical and Computational Engineering Classical Mechanics Fluid- and Aerodynamics Theoretical and Applied Mechanics Engineering mathematics Mechanics Mechanics, applied Anwendung (DE-588)4196864-5 gnd Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4196864-5 (DE-588)4009754-7 |
| title | Engineering Applications of Dynamics of Chaos |
| title_auth | Engineering Applications of Dynamics of Chaos |
| title_exact_search | Engineering Applications of Dynamics of Chaos |
| title_full | Engineering Applications of Dynamics of Chaos edited by W. Szemplinska-Stupnicka, H. Troger |
| title_fullStr | Engineering Applications of Dynamics of Chaos edited by W. Szemplinska-Stupnicka, H. Troger |
| title_full_unstemmed | Engineering Applications of Dynamics of Chaos edited by W. Szemplinska-Stupnicka, H. Troger |
| title_short | Engineering Applications of Dynamics of Chaos |
| title_sort | engineering applications of dynamics of chaos |
| topic | Mathematical and Computational Engineering Classical Mechanics Fluid- and Aerodynamics Theoretical and Applied Mechanics Engineering mathematics Mechanics Mechanics, applied Anwendung (DE-588)4196864-5 gnd Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Mathematical and Computational Engineering Classical Mechanics Fluid- and Aerodynamics Theoretical and Applied Mechanics Engineering mathematics Mechanics Mechanics, applied Anwendung Chaostheorie |
| url | https://doi.org/10.1007/978-3-7091-2610-3 |
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