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Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems (Understanding Complex Systems) - Softcover
Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.
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- PublisherSpringer
- Publication date2014
- ISBN 10 9400797028
- ISBN 13 9789400797024
- BindingPaperback
- Number of pages418
- EditorKrauskopf Bernd, Osinga Hinke M., Galan-Vioque Jorge
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Numerical Continuation Methods for Dynamical Systems : Path following and boundary value problems
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation.This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve.The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits. Seller Inventory # 9789400797024
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Numerical Continuation Methods for Dynamical Systems
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. An overview of the influence of an important tool for bifurcation analysisProviding this material, so far spread over a large body of research literature in different fields, in one single source Also accessible to non-specialistsWit. Seller Inventory # 5828568
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Numerical Continuation Methods for Dynamical Systems
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation.This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve.The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits. 420 pp. Englisch. Seller Inventory # 9789400797024
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Book Description Condition: New. Editor(s): Krauskopf, Bernd; Osinga, Hinke M.; Galan-Vioque, Jorge. Series: Understanding Complex Systems. Num Pages: 418 pages, biography. BIC Classification: PBW; PBWR; PHS; PHV; TBC; TBJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 22. Weight in Grams: 640. . 2014. Paperback. . . . . Seller Inventory # V9789400797024
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Book Description Condition: New. Editor(s): Krauskopf, Bernd; Osinga, Hinke M.; Galan-Vioque, Jorge. Series: Understanding Complex Systems. Num Pages: 418 pages, biography. BIC Classification: PBW; PBWR; PHS; PHV; TBC; TBJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 22. Weight in Grams: 640. . 2014. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9789400797024
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