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Understanding Complex Systems

Numerical Continuation Methods for Dynamical Systems

Path following and boundary value problems

Editors: Krauskopf, Bernd, Osinga, Hinke M., Galan-Vioque, Jorge (Eds.)

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  • An overview of the influence of an important tool for bifurcation analysis
  • Providing this material, so far spread over a large body of research literature in different fields, in one single source
  • Also accessible to non-specialists
  • With 200 figures, 26 in full colour
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eBook 117,69 €
price for Spain (gross)
  • ISBN 978-1-4020-6356-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-1-4020-6355-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,78 €
price for Spain (gross)
  • ISBN 978-94-007-9702-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Lecture Notes on Numerical Analysis of Nonlinear Equations

    Pages 1-49

    Doedel, Eusebius J

  • Interactive Continuation Tools

    Pages 51-75

    Govaerts, Willy (et al.)

  • Higher-Dimensional Continuation

    Pages 77-115

    Henderson, Michael E

  • Computing Invariant Manifolds via the Continuation of Orbit Segments

    Pages 117-154

    Krauskopf, Dr. Bernd (et al.)

  • The Dynamics of SQUIDs and Coupled Pendula

    Pages 155-176

    Aronson, Donald G (et al.)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-1-4020-6356-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-1-4020-6355-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,78 €
price for Spain (gross)
  • ISBN 978-94-007-9702-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Continuation Methods for Dynamical Systems
Book Subtitle
Path following and boundary value problems
Editors
  • Bernd Krauskopf
  • Hinke M. Osinga
  • Jorge Galan-Vioque
Series Title
Understanding Complex Systems
Copyright
2007
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6356-5
DOI
10.1007/978-1-4020-6356-5
Hardcover ISBN
978-1-4020-6355-8
Softcover ISBN
978-94-007-9702-4
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XIX, 399
Additional Information
Jointly published with Canopus Publishing Limited, Bristol, UK
Topics