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Multiple Time Scale Dynamics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Multiple Time Scale Dynamics/ by Christian Kuehn.
作者:	Kuehn, Christian.
面頁冊數:	XIII, 814 p. 196 illus., 48 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Probabilities. -
電子資源:	https://doi.org/10.1007/978-3-319-12316-5
ISBN:	9783319123165

Multiple Time Scale Dynamics
Kuehn, Christian.

Multiple Time Scale Dynamics[electronic resource] /by Christian Kuehn. - 1st ed. 2015. - XIII, 814 p. 196 illus., 48 illus. in color.online resource. - Applied Mathematical Sciences,1910066-5452 ;. - Applied Mathematical Sciences,191.

Introduction.- General Fenichel Theory.- Geometric Singular Perturbation Theory -- Normal Forms -- Direct Asymptotic Methods -- Tracking Invariant Manifolds -- The Blow-Up Method -- Singularities and Canards -- Advanced Asymptotic Methods -- Numerical Methods -- Computing Manifolds -- Scaling and Delay -- Oscillations -- Chaos in Fast-Slow Systems -- Stochastic Systems -- Topological Methods -- Spatial Dynamics -- Infinite Dimensions -- Other Topics -- Applications.

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective. .

ISBN: 9783319123165

Standard No.: 10.1007/978-3-319-12316-5doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Multiple Time Scale Dynamics
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