http://www.doc.mmu.ac.uk/STAFF/S.Lynch/new.gifThe second edition was published in 2010. I am in the process of updating these pages. http://www.doc.mmu.ac.uk/STAFF/S.Lynch/new.gif

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.

 Preface (2nd Edition)

 Contents (2nd Edition)

 Summary

Chapter 0 :  A Tutorial Introduction to Maple

Chapter 1 :   Differential Equations http://www.doc.mmu.ac.uk/STAFF/S.Lynch/new.gifAnimation 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 .