Multiple Time Scale Dynamics

Specificaties
Gebonden, 950 blz. | Engels
Springer International Publishing | 2014e druk, 2015
ISBN13: 9783319123158
Rubricering
Springer International Publishing 2014e druk, 2015 9783319123158
Onderdeel van serie Applied Mathematical Sciences
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783319123158
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:950
Uitgever:Springer International Publishing
Druk:2014

Inhoudsopgave

​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.

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        Multiple Time Scale Dynamics