Bifurcations and chaos in piecewise-smooth dynamical systems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2003
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| Schriftenreihe: | World Scientific series on nonlinear science
v. 44 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index PREFACE; CONTENTS; Chapter 1 ON THE DYNAMICS OF NONLINEAR SYSTEMS; Chapter 2 BASIC CONCEPTS AND METHODS; Chapter 3 RELAY CONTROL SYSTEMS; Chapter 4 BIFURCATIONS AND CHAOTIC OSCILLATIONS IN RELAY SYSTEMS; Chapter 5 CHAOTIC OSCILLATIONS IN PULSE-WIDTH MODULATED SYSTEMS; Chapter 6 BORDER-COLLISION BIFURCATIONS ON A TWO-DIMENSIONAL TORUS; Chapter 7 BORDER-COLLISION BIFURCATIONS IN A MANAGEMENT SYSTEM; INDEX. Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description. This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory. The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems. In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general |
| Beschreibung: | 1 Online-Ressource (xii, 363 pages) |
| ISBN: | 9789812564436 9812564438 |
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| 245 | 1 | 0 | |a Bifurcations and chaos in piecewise-smooth dynamical systems |c Zhanybai T. Zhusubaliyev, Erik Mosekilde |
| 264 | 1 | |a Singapore |b World Scientific |c ©2003 | |
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| 490 | 0 | |a World Scientific series on nonlinear science |v v. 44 | |
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| 500 | |a PREFACE; CONTENTS; Chapter 1 ON THE DYNAMICS OF NONLINEAR SYSTEMS; Chapter 2 BASIC CONCEPTS AND METHODS; Chapter 3 RELAY CONTROL SYSTEMS; Chapter 4 BIFURCATIONS AND CHAOTIC OSCILLATIONS IN RELAY SYSTEMS; Chapter 5 CHAOTIC OSCILLATIONS IN PULSE-WIDTH MODULATED SYSTEMS; Chapter 6 BORDER-COLLISION BIFURCATIONS ON A TWO-DIMENSIONAL TORUS; Chapter 7 BORDER-COLLISION BIFURCATIONS IN A MANAGEMENT SYSTEM; INDEX. | ||
| 500 | |a Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description. This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory. The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems. In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general | ||
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Datensatz im Suchindex
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| author | Zhusubaliyev, Zhanybai T. |
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| dewey-search | 621.3981 |
| dewey-sort | 3621.3981 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:56Z |
| institution | BVB |
| isbn | 9789812564436 9812564438 |
| language | English |
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| spelling | Zhusubaliyev, Zhanybai T. Verfasser aut Bifurcations and chaos in piecewise-smooth dynamical systems Zhanybai T. Zhusubaliyev, Erik Mosekilde Singapore World Scientific ©2003 1 Online-Ressource (xii, 363 pages) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science v. 44 Includes bibliographical references and index PREFACE; CONTENTS; Chapter 1 ON THE DYNAMICS OF NONLINEAR SYSTEMS; Chapter 2 BASIC CONCEPTS AND METHODS; Chapter 3 RELAY CONTROL SYSTEMS; Chapter 4 BIFURCATIONS AND CHAOTIC OSCILLATIONS IN RELAY SYSTEMS; Chapter 5 CHAOTIC OSCILLATIONS IN PULSE-WIDTH MODULATED SYSTEMS; Chapter 6 BORDER-COLLISION BIFURCATIONS ON A TWO-DIMENSIONAL TORUS; Chapter 7 BORDER-COLLISION BIFURCATIONS IN A MANAGEMENT SYSTEM; INDEX. Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description. This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory. The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems. In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general COMPUTERS / Data Transmission Systems / General bisacsh Bifurcation theory fast Chaotic behavior in systems fast Differentiable dynamical systems fast Relay control systems fast Relay control systems Bifurcation theory Chaotic behavior in systems Differentiable dynamical systems Mosekilde, Erik Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=134091 Aggregator Volltext |
| spellingShingle | Zhusubaliyev, Zhanybai T. Bifurcations and chaos in piecewise-smooth dynamical systems COMPUTERS / Data Transmission Systems / General bisacsh Bifurcation theory fast Chaotic behavior in systems fast Differentiable dynamical systems fast Relay control systems fast Relay control systems Bifurcation theory Chaotic behavior in systems Differentiable dynamical systems |
| title | Bifurcations and chaos in piecewise-smooth dynamical systems |
| title_auth | Bifurcations and chaos in piecewise-smooth dynamical systems |
| title_exact_search | Bifurcations and chaos in piecewise-smooth dynamical systems |
| title_full | Bifurcations and chaos in piecewise-smooth dynamical systems Zhanybai T. Zhusubaliyev, Erik Mosekilde |
| title_fullStr | Bifurcations and chaos in piecewise-smooth dynamical systems Zhanybai T. Zhusubaliyev, Erik Mosekilde |
| title_full_unstemmed | Bifurcations and chaos in piecewise-smooth dynamical systems Zhanybai T. Zhusubaliyev, Erik Mosekilde |
| title_short | Bifurcations and chaos in piecewise-smooth dynamical systems |
| title_sort | bifurcations and chaos in piecewise smooth dynamical systems |
| topic | COMPUTERS / Data Transmission Systems / General bisacsh Bifurcation theory fast Chaotic behavior in systems fast Differentiable dynamical systems fast Relay control systems fast Relay control systems Bifurcation theory Chaotic behavior in systems Differentiable dynamical systems |
| topic_facet | COMPUTERS / Data Transmission Systems / General Bifurcation theory Chaotic behavior in systems Differentiable dynamical systems Relay control systems |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=134091 |
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