Geometric Singular Perturbation Theory Beyond the Standard Form

Language: English

Published by Springer International Publishing Feb 2020, 2020

3030363988 / 9783030363987

Series: Book 6 of 8 - Frontiers in Applied Dynamical Systems: Reviews and Tutorials

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This item is printed on demand - it takes 3-4 days longer - Neuware -This volume providesa comprehensive review of multiple-scale dynamical systems.Mathematical models of such multiple-scale systems are considered singular perturbation problems, andthis volumefocuseson the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first of its kindthat introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples ofbiochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all withan inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form.The contents cover a general framework for thisGSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models.It contains many illustrations andkey pointers tothe existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view.Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales. 148 pp. Englisch.…

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Title
Geometric Singular Perturbation Theory Beyond the Standard Form
Author
Martin Wechselberger
Publisher
Springer International Publishing Feb 2020
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3030363988
ISBN 13
9783030363987
Item weight
236 grams
Dimensions
235x155x9 mm
Series
Book 6 of 8: Frontiers in Applied Dynamical Systems: Reviews and Tutorials

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

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