Geometric Singular Perturbation Theory Beyond the Standard Form
Language: English
Published by Birkhäuser, 2020
Series: Book 6 of 8 - Frontiers in Applied Dynamical Systems: Reviews and Tutorials
- Softcover
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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9783030363987
- Title
- Geometric Singular Perturbation Theory Beyond the Standard Form
- Author
- Martin Wechselberger
- Publisher
- Birkhäuser
- 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
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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 to the 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.
"About the title" may belong to another edition of this title.
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