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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.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xiii, 814 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Differentiable dynamical systems. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-12316-5
ISBN:	9783319123165 (electronic bk.)

Multiple time scale dynamics
Kuehn, Christian.

Multiple time scale dynamics[electronic resource] /by Christian Kuehn. - Cham :Springer International Publishing :2015. - xiii, 814 p. :ill. (some col.), digital ;24 cm. - Applied mathematical sciences,v.1910066-5452 ;. - Applied mathematical sciences ;v.173..

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 (electronic bk.)

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

528273
Differentiable dynamical systems.

LC Class. No.: QA614.8

Dewey Class. No.: 515.39

Multiple time scale dynamics
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505 0 $a 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.
520 $a 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.
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