Frequency-domain approach to Hopf bifurcation analysis: continuous time-delayed systems
"This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diag...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2019
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| Schlagworte: | |
| Online-Zugang: | UBY01 Volltext |
| Zusammenfassung: | "This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed."-- |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader |
| Beschreibung: | 1 online resource (392 pages) illustrations |
| ISBN: | 9789811205477 |
Internformat
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| 100 | 1 | |a Gentile, Franco Sebastian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Frequency-domain approach to Hopf bifurcation analysis |b continuous time-delayed systems |c Franco Sebastian Gentile, Jorge Luis Moiola, Guanrong Chen |
| 264 | 1 | |a Singapore |b World Scientific Publishing Company Pte Limited |c 2019 | |
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| 505 | 8 | |a Includes bibliographical references and indexes | |
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| 650 | 4 | |a Differential equations, Nonlinear / Numerical solutions | |
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| 700 | 1 | |a Moiola, Jorge L. |e Sonstige |4 oth | |
| 700 | 1 | |a Chen, G. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Gentile, Franco Sebastian |
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| id | DE-604.BV046807768 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:04Z |
| indexdate | 2024-07-10T08:54:24Z |
| institution | BVB |
| isbn | 9789811205477 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032216387 |
| oclc_num | 1190673603 |
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| physical | 1 online resource (392 pages) illustrations |
| psigel | ZDB-124-WOP |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific Publishing Company Pte Limited |
| record_format | marc |
| spelling | Gentile, Franco Sebastian Verfasser aut Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems Franco Sebastian Gentile, Jorge Luis Moiola, Guanrong Chen Singapore World Scientific Publishing Company Pte Limited 2019 1 online resource (392 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and indexes "This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations. The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed."-- Bifurcation theory Differential equations, Nonlinear / Numerical solutions Electronic books Moiola, Jorge L. Sonstige oth Chen, G. Sonstige oth Erscheint auch als Druck-Ausgabe 9789811205460 https://www.worldscientific.com/worldscibooks/10.1142/11418 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gentile, Franco Sebastian Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems Includes bibliographical references and indexes Bifurcation theory Differential equations, Nonlinear / Numerical solutions |
| title | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems |
| title_auth | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems |
| title_exact_search | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems |
| title_exact_search_txtP | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems |
| title_full | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems Franco Sebastian Gentile, Jorge Luis Moiola, Guanrong Chen |
| title_fullStr | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems Franco Sebastian Gentile, Jorge Luis Moiola, Guanrong Chen |
| title_full_unstemmed | Frequency-domain approach to Hopf bifurcation analysis continuous time-delayed systems Franco Sebastian Gentile, Jorge Luis Moiola, Guanrong Chen |
| title_short | Frequency-domain approach to Hopf bifurcation analysis |
| title_sort | frequency domain approach to hopf bifurcation analysis continuous time delayed systems |
| title_sub | continuous time-delayed systems |
| topic | Bifurcation theory Differential equations, Nonlinear / Numerical solutions |
| topic_facet | Bifurcation theory Differential equations, Nonlinear / Numerical solutions |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11418 |
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