Dynamical Systems with Applications using Maple(TM)
(Sprache: Englisch)
This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions. It contains two new chapters on neural networks and simulation.
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This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions. It contains two new chapters on neural networks and simulation.
Klappentext zu „Dynamical Systems with Applications using Maple(TM) “
Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter)
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
Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science
Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering
A hands-on approach is used with 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 incolor at the author's website with additional applications and further links of interest at Maplesoft's Application Center
Inhaltsverzeichnis zu „Dynamical Systems with Applications using Maple(TM) “
- Preface - A Tutorial Introduction to Maple Toolbox
- Differential Equations
- Planar Systems
- Interacting Species
- Limit Cycles
- Hamiltonian Systems, Lyapunov Functions, and Stability
- Bifurcation Theory
- Three Dimensional Autonomous Systems and Chaos
- Poincare Maps and Nonautonomous Systems in the Plane
- Local and Global Bifurcations
- The Second Part of David 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
- Maplets
- Solutions to Exercises
- References
- Maple Program File Index
- Maple File Index
- Index
Bibliographische Angaben
- Autor: Stephen Lynch
- 2009, 2nd ed., 500 Seiten, Maße: 15,8 x 23,8 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 0817643893
- ISBN-13: 9780817643898
Sprache:
Englisch
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