TY - BOOK AU - Lynch, Stephen TI - Dynamical systems with applications using mathematica SN - 9780817644826 PY - 2007/// CY - Boston PB - Birkhauser KW - Calculus-mathematical analysis KW - Differentiable dynamical systems KW - Differential dynamical systems KW - Mathematical-Computer file KW - Mathematics N1 - Bibliographical references 451-468p.; Index 469-484p N2 - This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems ER -