Description
Birkhauser Dynamical Systems with Applications using Maple TM by Stephen Lynch
Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter)_x000D__x000D__x000D_New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions_x000D__x000D__x000D_Two new chapters on neural networks and simulation have also been added_x000D__x000D__x000D_Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science_x000D__x000D__x000D_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_x000D__x000D__x000D_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 in color at the author's website with additional applications and further links of interest at Maplesoft's Application Center_x000D_ Table of contents :- _x000D_
A 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.- Poincar#x00E9; Maps and Nonautonomous Systems in the Plane.- Local and Global Bifurcations.- The Second Part of Hilbert#x2019;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._x000D_