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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Numerical Continuation Methods for Dynamical Systems
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Numerical Continuation Methods for Dynamical Systems
(Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
26.07.2007
Sprache
Englisch
EAN
9781402063558, 9781402063558
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Understanding Complex Systems
Sonderedition
Nein
Seitenanzahl
399
Einbandart
Gebundene Ausgabe
Buch Untertitel
Path following and boundary value problems
Schlagwörter
Canopus, PDE continuation, SQUIDs and coupled pendula, bifurcation analysis, calculus, delay differential equations, differential equation, dynamical systems, invariant manifolds, numerical analysis, partial differential equation, periodic orbits, systems theory
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PHV - Angewandte Physik
PBW - Angewandte Mathematik
TBJ - Mathematik für Ingenieure
TBC - Ingenieurswesen, Maschinenbau allgemein
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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