LEADER 05375nam 22007215 450 001 9910254285703321 005 20251204105246.0 010 $a3-319-61485-1 024 7 $a10.1007/978-3-319-61485-4 035 $a(CKB)4100000000881618 035 $a(DE-He213)978-3-319-61485-4 035 $a(MiAaPQ)EBC5594494 035 $a(PPN)220127832 035 $a(EXLCZ)994100000000881618 100 $a20171013d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Systems with Applications Using Mathematica® /$fby Stephen Lynch 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017. 215 $a1 online resource (XVI, 585 p. 270 illus., 98 illus. in color.) 311 08$a3-319-61484-3 320 $aIncludes bibliographical references and index. 327 $aA Tutorial Introduction to Mathematica -- Differential Equations -- Planar Systems -- Interacting Species -- Limit Cycles -- Hamiltonian Systems, Lyapunov Functions, and Stability -- Bifurcation Theory -- Three-Dimensional Autonomous Systems and Chaos -- Poincaré Maps and Nonautonomous Systems in the Plane -- Local and Global Bifurcations -- The Second Part of Hilbert?s Sixteenth Problem -- Linear Discrete Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Complex Iterative Maps -- Electromagnetic Waves and Optical Resonators -- Fractals and Multifractals -- Chaos Control and Synchronization -- Neural Networks -- Examination-Type Questions -- Solutions to Exercises. 330 $aThis textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite. Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. The book begins with an efficient tutorial introduction to Mathematica, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at: http://library.wolfram.com/infocenter/Books/9563/ The author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum, though references are included for the inquisitive reader. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many of the chapters are especially useful as reference material for senior undergraduate independent project work. New to the second edition: Since the first printing of this book in 2007, Mathematica has evolved from version 6.0 to version 11.2 in 2017. Accordingly, the second edition has been thoroughly updated and new material has been added. There are many more applications, examples and exercises, all with solutions, and new sections on series solutions of ordinary differential equations and Newton fractals, have been added. There are also new chapters on delay differential equations, image processing, binary oscillator computing, and simulation with Wolfram SystemModeler. Praise for the first edition: ?[This book?s] content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the firstplace.? ?Dynamical Systems Magazine ?This book presents an original, cheap and powerful solution to the problem of analysis of large data sets.? ?Studia Universitatis Babes?-Bolyai Mathematica ?The one-liner programs come to life when typed in, and the growing programming skill lends itself to inventing [one's] own extensions to the supplied problems.? ?Datafile, The Journal of the HPCC. 606 $aDynamics 606 $aMathematics 606 $aDifferential equations 606 $aSystem theory 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aComputer software 606 $aDynamical Systems 606 $aApplications of Mathematics 606 $aDifferential Equations 606 $aComplex Systems 606 $aMathematical and Computational Engineering Applications 606 $aMathematical Software 615 0$aDynamics. 615 0$aMathematics. 615 0$aDifferential equations. 615 0$aSystem theory. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aComputer software. 615 14$aDynamical Systems. 615 24$aApplications of Mathematics. 615 24$aDifferential Equations. 615 24$aComplex Systems. 615 24$aMathematical and Computational Engineering Applications. 615 24$aMathematical Software. 676 $a510.285536 700 $aLynch$b Stephen$4aut$4http://id.loc.gov/vocabulary/relators/aut$023315 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254285703321 996 $aDynamical systems with applications using Mathematica$91419817 997 $aUNINA