000 | 03985nam a22005655i 4500 | ||
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001 | 978-3-319-09570-7 | ||
003 | DE-He213 | ||
005 | 20190213151909.0 | ||
007 | cr nn 008mamaa | ||
008 | 141006s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319095707 _9978-3-319-09570-7 |
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024 | 7 |
_a10.1007/978-3-319-09570-7 _2doi |
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_aPBKJ _2bicssc |
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_aMAT007000 _2bisacsh |
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_aPBKJ _2thema |
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082 | 0 | 4 |
_a515.352 _223 |
100 | 1 |
_aShchepakina, Elena. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSingular Perturbations _h[electronic resource] : _bIntroduction to System Order Reduction Methods with Applications / _cby Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
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300 |
_aXIII, 212 p. 50 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2114 |
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505 | 0 | _aIntroduction -- 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. | |
520 | _aThese 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. | ||
650 | 0 | _aDifferential Equations. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aEngineering mathematics. | |
650 | 0 | _aEngineering. | |
650 | 1 | 4 |
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120 |
650 | 2 | 4 |
_aMathematical and Computational Biology. _0http://scigraph.springernature.com/things/product-market-codes/M31000 |
650 | 2 | 4 |
_aMathematical and Computational Engineering. _0http://scigraph.springernature.com/things/product-market-codes/T11006 |
650 | 2 | 4 |
_aEngineering Thermodynamics, Heat and Mass Transfer. _0http://scigraph.springernature.com/things/product-market-codes/T14000 |
700 | 1 |
_aSobolev, Vladimir. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aMortell, Michael P. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319095714 |
776 | 0 | 8 |
_iPrinted edition: _z9783319095691 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2114 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-09570-7 |
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