Multiple Time Scale Dynamics / by Christian Kuehn
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016791 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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. |
| 著者標目 | *Kuehn, Christian SpringerLink (Online service) |
| 統一書名標目 | Applied Mathematical Sciences, |
| 件 名 | LCSH:Mathematics LCSH:Differentiable dynamical systems LCSH:Differential Equations LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Distribution (Probability theory) FREE:Mathematics FREE:Dynamical Systems and Ergodic Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Computational Mathematics and Numerical Analysis FREE:Ordinary Differential Equations FREE:Probability Theory and Stochastic Processes |
| 分 類 | LCC:QA313 DC23:515.39 DC23:515.48 |
| 巻冊次 | ISBN:9783319123165 RefWorks出力（各巻） print ; ISBN:9783319123158 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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