LEADER 02783nam a2200397 i 4500 001 991002949479707536 008 160721s2014 sz a b 001 0 eng d 020 $a9783319095691 035 $ab14258869-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.352$223 084 $aAMS 34-02 084 $aAMS 34C45 084 $aAMS 34E15 084 $aAMS 34E17 084 $aLC QA372 100 1 $aShchepakina, Elena$0716378 245 10$aSingular perturbations :$bintroduction to system order reduction methods with applications /$cby Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell 260 $aCham [Switzerland] :$bSpringer,$cc2014 300 $aXIII, 212 p. :$b50 ill. ;$c24 cm 440 0$aLecture notes in mathematics,$x0075-8434 ;$v2114 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 $aThese lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book?s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters 650 0$aDifferentiable dynamical systems 650 0$aDifferential equations 650 0$aEngineering mathematics 650 0$aEngineering 700 1 $aSobolev, Vladimir$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0721500 700 1 $aMortell, Michael P. 773 0 $aSpringer eBooks 907 $a.b14258869$b17-11-16$c21-07-16 912 $a991002949479707536 945 $aLE013 34-XX SHC11 (2014)$g1$i2013000293561$lle013$op$pE46.79$q-$rl$s- $t0$u0$v0$w0$x0$y.i15787473$z17-11-16 996 $aSingular perturbations$91465277 997 $aUNISALENTO 998 $ale013$b21-07-16$cm$da $e-$feng$gsz $h0$i0