Bifurcations and chaos in piecewise-smooth dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore ; River Edge, NJ
World Scientific
2003
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| Series: | World Scientific series on nonlinear science
v. 44 |
| Subjects: | |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (xii, 363 pages) illustrations |
| ISBN: | 9812564438 9789812564436 |
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| 100 | 1 | |a Zhusubaliyev, Zhanybai T. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bifurcations and chaos in piecewise-smooth dynamical systems |c Zhanybai T. Zhusubaliyev, Erik Mosekilde |
| 264 | 1 | |a Singapore ; River Edge, NJ |b World Scientific |c 2003 | |
| 300 | |a 1 online resource (xii, 363 pages) |b illustrations | ||
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| 505 | 8 | |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 | |
| 650 | 7 | |a COMPUTERS / Data Transmission Systems / General |2 bisacsh | |
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| 650 | 7 | |a Chaotic behavior in systems |2 fast | |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a Relay control systems |2 fast | |
| 650 | 4 | |a Relay control systems |a Bifurcation theory |a Chaotic behavior in systems |a Differentiable dynamical systems | |
| 700 | 1 | |a Mosekilde, Erik |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Zhusubaliyev, Zhanybai T. |t Bifurcations and chaos in piecewise-smooth dynamical systems |d Singapore ; River Edge, NJ : World Scientific, 2003 |z 9812384200 |
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Record in the Search Index
| _version_ | 1804179157762965504 |
|---|---|
| any_adam_object | |
| author | Zhusubaliyev, Zhanybai T. |
| author_facet | Zhusubaliyev, Zhanybai T. |
| author_role | aut |
| author_sort | Zhusubaliyev, Zhanybai T. |
| author_variant | z t z zt ztz |
| building | Verbundindex |
| bvnumber | BV045341267 |
| collection | ZDB-4-ENC |
| contents | 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 |
| ctrlnum | (ZDB-4-ENC)ocm60714472 (OCoLC)60714472 (DE-599)BVBBV045341267 |
| dewey-full | 621.3981 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3981 |
| 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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| id | DE-604.BV045341267 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:15:24Z |
| institution | BVB |
| isbn | 9812564438 9789812564436 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030727970 |
| oclc_num | 60714472 |
| open_access_boolean | |
| physical | 1 online resource (xii, 363 pages) illustrations |
| psigel | ZDB-4-ENC |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| series2 | World Scientific series on nonlinear science |
| spelling | Zhusubaliyev, Zhanybai T. Verfasser aut Bifurcations and chaos in piecewise-smooth dynamical systems Zhanybai T. Zhusubaliyev, Erik Mosekilde Singapore ; River Edge, NJ World Scientific 2003 1 online resource (xii, 363 pages) illustrations txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science v. 44 Print version record 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 Erscheint auch als Druck-Ausgabe Zhusubaliyev, Zhanybai T. Bifurcations and chaos in piecewise-smooth dynamical systems Singapore ; River Edge, NJ : World Scientific, 2003 9812384200 |
| spellingShingle | Zhusubaliyev, Zhanybai T. Bifurcations and chaos in piecewise-smooth dynamical systems 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 |
| 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 Relay control systems Bifurcation theory Chaotic behavior in systems Differentiable dynamical systems |
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