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010   $a3-319-12316-5
024 7 $a10.1007/978-3-319-12316-5
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035   $a(MiAaPQ)EBC5578997
035   $a(Au-PeEL)EBL5578997
035   $a(OCoLC)904400505
035   $a(PPN)184498112
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100   $a20150225d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMultiple Time Scale Dynamics /$fby Christian Kuehn
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XIII, 814 p. 196 illus., 48 illus. in color.) 
225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v191
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-12315-7 
327   $aIntroduction.- 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.
330   $aThis book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form.  The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this  book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective. .
410  0$aApplied Mathematical Sciences,$x2196-968X ;$v191
606   $aDynamics
606   $aMathematical physics
606   $aMathematics$xData processing
606   $aDifferential equations
606   $aProbabilities
606   $aDynamical Systems
606   $aTheoretical, Mathematical and Computational Physics
606   $aComputational Mathematics and Numerical Analysis
606   $aDifferential Equations
606   $aProbability Theory
615  0$aDynamics.
615  0$aMathematical physics.
615  0$aMathematics$xData processing.
615  0$aDifferential equations.
615  0$aProbabilities.
615 14$aDynamical Systems.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aDifferential Equations.
615 24$aProbability Theory.
676   $a515.352
700   $aKuehn$b Christian$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755537
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299778703321
996   $aMultiple time scale dynamics$91522519
997   $aUNINA