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100   $a20141006d2014      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aSingular Perturbations$b[electronic resource] $eIntroduction to System Order Reduction Methods with Applications /$fby Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (XIII, 212 p. 50 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2114
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-09569-2 
327   $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.
330   $aThese lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book?s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2114
606   $aDifferential equations
606   $aDynamics
606   $aErgodic theory
606   $aMathematical physics
606   $aBiomathematics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aThermodynamics
606   $aHeat engineering
606   $aHeat transfer
606   $aMass transfer
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aEngineering Thermodynamics, Heat and Mass Transfer$3https://scigraph.springernature.com/ontologies/product-market-codes/T14000
615  0$aDifferential equations.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aMathematical physics.
615  0$aBiomathematics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aThermodynamics.
615  0$aHeat engineering.
615  0$aHeat transfer.
615  0$aMass transfer.
615 14$aOrdinary Differential Equations.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aMathematical and Computational Biology.
615 24$aMathematical and Computational Engineering.
615 24$aEngineering Thermodynamics, Heat and Mass Transfer.
676   $a515.42
700   $aShchepakina$b Elena$4aut$4http://id.loc.gov/vocabulary/relators/aut$0716378
702   $aSobolev$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMortell$b Michael P$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996213651803316
996   $aSingular Perturbations$92393587
997   $aUNISA