Geometric Singular Perturbation Theory Beyond the Standard Form

Language: English

Published by Springer, Springer VS 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 - Print on Demand Titel. Neuware -This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form.The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 148 pp. Englisch.…

Seller Inventory # 9783030363987

Title
Geometric Singular Perturbation Theory Beyond the Standard Form
Author
Martin Wechselberger
Publisher
Springer, Springer VS 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

buchversandmimpf2000

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