000 04726nam a22005175i 4500
001 978-0-8176-4605-9
003 DE-He213
005 20140220084457.0
007 cr nn 008mamaa
008 100301s2010 xxu| s |||| 0|eng d
020 _a9780817646059
_9978-0-8176-4605-9
024 7 _a10.1007/978-0-8176-4605-9
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aLynch, Stephen.
_eauthor.
245 1 0 _aDynamical Systems with Applications using Maple¿
_h[electronic resource] /
_cby Stephen Lynch.
250 _a2.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _aXVIII, 500p. 216 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aA Tutorial Introduction to Maple -- 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 -- Simulation -- Examination-Type Questions -- Solutions to Exercises.
520 _a"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple." —UK Nonlinear News (Review of First Edition) "The book will be useful for all kinds of dynamical systems courses…. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background." —Mathematical Reviews (Review of First Edition) Since the first edition of this book was published in 2001, Maple™ has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gröbner bases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website. Additional applications and further links of interest may be found at Maplesoft’s Application Center. Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering. ISBN 978-0-8176-4389-8 § Also by the author: Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Mathematica®, ISBN 978-0-8176-4482-6
650 0 _aMathematics.
650 0 _aDifferential Equations.
650 0 _aGenetics
_xMathematics.
650 0 _aEngineering.
650 0 _aEngineering mathematics.
650 1 4 _aMathematics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aGenetics and Population Dynamics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aEngineering, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817643898
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4605-9
912 _aZDB-2-SMA
999 _c109897
_d109897