Singular Perturbations : Introduction to System Order Reduction Methods with Applications / by Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell
(Lecture Notes in Mathematics ; 2114)
| データ種別 | 電子ブック |
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| 出版情報 | Cham : Springer International Publishing : Imprint: Springer , 2014 |
| 本文言語 | 英語 |
| 大きさ | XIII, 212 p. 50 illus : online resource |
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| 内容注記 | Introduction Slow Integral Manifolds The Book of Numbers Representations of Slow Integral Manifolds Singular Singularly Perturbed Systems Reduction Methods for Chemical Systems Specific Cases Canards and Black Swans Appendix: Proofs |
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| 一般注記 | These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book’s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters |
| 著者標目 | *Shchepakina, Elena author Sobolev, Vladimir author Mortell, Michael P. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Dynamics LCSH:Ergodic theory LCSH:Differential equations LCSH:Mathematical physics LCSH:Biomathematics LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Thermodynamics LCSH:Heat engineering LCSH:Heat transfer LCSH:Mass transfer FREE:Mathematics FREE:Ordinary Differential Equations FREE:Dynamical Systems and Ergodic Theory FREE:Mathematical Applications in the Physical Sciences FREE:Mathematical and Computational Biology FREE:Appl.Mathematics/Computational Methods of Engineering FREE:Engineering Thermodynamics, Heat and Mass Transfer |
| 分 類 | DC23:515.352 |
| 巻冊次 | ISBN:9783319095707 
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| ISBN | 9783319095707 |
| URL | http://dx.doi.org/10.1007/978-3-319-09570-7 |
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