Dynamical Systems with Applications using Maple¿ 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. 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.