**The second edition
was published in 2010. I am in the process of updating these pages. **

**Any comments or suggestions as to how the book or
web pages could be improved will be gratefully received.**

**Please email **s.lynch@mmu.ac.uk**.**

Chapter 0 : A Tutorial Introduction to Maple

Chapter 1 : __Differential Equations__
Animation of a
Restricted Three Body Problem

Chapter 2 : __Planar Systems__

Chapter 3 : __Interacting Species__

Chapter 4 : __Limit Cycles__

Chapter 5 : __Hamiltonian Systems, Lyapunov Functions, and Stability__

Chapter 6 : __Bifurcation Theory__

Chapter 7 : __Three-Dimensional
Autonomous Systems and Chaos__

Chapter 8 : __Poincare Maps and Nonautonomous Systems in the Plane__

Chapter 9 : __Local and Global Bifuractions__

Chapter 10 : The Second Part of Hilbert's Sixteenth Problem

Chapter 11 : __Linear Discrete
Dynamical Systems__

Chapter 12 : Nonlinear Discrete Dynamical Systems

Chapter 13 : __Complex Iterative
Maps__

Chapter 14 : Electromagnetic Waves and Bistable Optical Resonators

Chapter15 : __Fractals and Multifractals__

Chapter 16 : Chaos Control and Synchronization

Chapter 17 : Neural Networks

Chapter 18 : Simulation

Chapter 19: Examination-Type Questions; MMU Exam 1; MMU Exam 2

Chapter 20: Solutions to Exercises

Bibliography

Maple Program Index

Index

There are many more MAPLE commands and programs to be found at the MAPLE web-site .

You can find out more about the author here .