Dynamical Systems with Applications using Mathematica

Front Matter ....Pages i-xvi
 A Tutorial Introduction to Mathematica  (Stephen Lynch)....Pages 1-15
 Differential Equations  (Stephen Lynch)....Pages 17-44
 Planar Systems  (Stephen Lynch)....Pages 45-72
 Interacting Species  (Stephen Lynch)....Pages 73-87
 Limit Cycles  (Stephen Lynch)....Pages 89-117
 Hamiltonian Systems, Lyapunov Functions, and Stability  (Stephen Lynch)....Pages 119-133
 Bifurcation Theory  (Stephen Lynch)....Pages 135-153
 Three-Dimensional Autonomous Systems and Chaos  (Stephen Lynch)....Pages 155-183
 Poincaré Maps and Nonautonomous Systems in the Plane  (Stephen Lynch)....Pages 185-208
 Local and Global Bifurcations  (Stephen Lynch)....Pages 209-230
 The Second Part of Hilbert’s Sixteenth Problem  (Stephen Lynch)....Pages 231-256
 Delay Differential Equations  (Stephen Lynch)....Pages 257-283
 Linear Discrete Dynamical Systems  (Stephen Lynch)....Pages 285-304
 Nonlinear Discrete Dynamical Systems  (Stephen Lynch)....Pages 305-338
 Complex Iterative Maps  (Stephen Lynch)....Pages 339-351
 Electromagnetic Waves and Optical Resonators  (Stephen Lynch)....Pages 353-380
 Fractals and Multifractals  (Stephen Lynch)....Pages 381-415
 Image Processing and Analysis with Mathematica  (Stephen Lynch)....Pages 417-428
 Chaos Control and Synchronization  (Stephen Lynch)....Pages 429-451
 Neural Networks  (Stephen Lynch)....Pages 453-484
 Binary Oscillator Computing  (Stephen Lynch)....Pages 485-507
 An Introduction to Wolfram SystemModeler  (Stephen Lynch)....Pages 509-522
 Coursework and Examination-Type Questions  (Stephen Lynch)....Pages 523-545
 Solutions to Exercises  (Stephen Lynch)....Pages 547-574
Back Matter ....Pages 575-585