‘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) ‘Dynamical Systems with Applications using Maple’ provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. 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 Maplets have also been added. A supplementary e-book with interactive exercises, examples, and solutions will also be published. The author has gone for breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. 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 Maplets have also been added Supplementary e-book with interactive exercises, examples, and solutions will also be published INDICE: 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.
- ISBN: 978-0-8176-4389-8
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 500
- Fecha Publicación: 01/04/2009
- Nº Volúmenes: 1
- Idioma: Inglés