书目名称 | Geometric Singular Perturbation Theory Beyond the Standard Form |
编辑 | Martin Wechselberger |
视频video | |
概述 | First of its kind to discuss geometric singular perturbation theory in a coordinate-independent setting.Serves as an accessible entry point into the study of multiple time-scale dynamical systems.Cove |
丛书名称 | Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
图书封面 |  |
描述 | .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 & Statist |
出版日期 | Book 2020 |
关键词 | multiple scales; singular perturbations; differential equations; invariant manifolds; Fenichel Theory; Ca |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-36399-4 |
isbn_softcover | 978-3-030-36398-7 |
isbn_ebook | 978-3-030-36399-4Series ISSN 2364-4532 Series E-ISSN 2364-4931 |
issn_series | 2364-4532 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |