Dynamical Systems with Applications using Python

Front Matter ....Pages i-xvi
 A Tutorial Introduction to Python  (Stephen Lynch)....Pages 1-31
 Differential Equations  (Stephen Lynch)....Pages 33-64
 Planar Systems  (Stephen Lynch)....Pages 65-94
 Interacting Species  (Stephen Lynch)....Pages 95-111
 Limit Cycles  (Stephen Lynch)....Pages 113-143
 Hamiltonian Systems, Lyapunov Functions, and Stability  (Stephen Lynch)....Pages 145-161
 Bifurcation Theory  (Stephen Lynch)....Pages 163-184
 Three-Dimensional Autonomous Systems and Chaos  (Stephen Lynch)....Pages 185-214
 Poincaré Maps and Nonautonomous Systems in the Plane  (Stephen Lynch)....Pages 215-243
 Local and Global Bifurcations  (Stephen Lynch)....Pages 245-269
 The Second Part of Hilbert’s Sixteenth Problem  (Stephen Lynch)....Pages 271-296
 Delay Differential Equations  (Stephen Lynch)....Pages 297-325
 Linear Discrete Dynamical Systems  (Stephen Lynch)....Pages 327-346
 Nonlinear Discrete Dynamical Systems  (Stephen Lynch)....Pages 347-384
 Complex Iterative Maps  (Stephen Lynch)....Pages 385-401
 Electromagnetic Waves and Optical Resonators  (Stephen Lynch)....Pages 403-432
 Fractals and Multifractals  (Stephen Lynch)....Pages 433-470
 Image Processing with Python  (Stephen Lynch)....Pages 471-489
 Chaos Control and Synchronization  (Stephen Lynch)....Pages 491-517
 Neural Networks  (Stephen Lynch)....Pages 519-555
 Binary Oscillator Computing  (Stephen Lynch)....Pages 557-589
 Coursework and Examination-Type Questions  (Stephen Lynch)....Pages 591-618
 Solutions to Exercises  (Stephen Lynch)....Pages 619-644
Back Matter ....Pages 645-665