Linear Systems
Introduction
Phase Portraits
Matrix Algebra
Stability
Case Study
Summary
Nonlinear Systems
Introduction
Linearisation
Local Stability
Global Stability
Case study
Summary
Limit Cycles
Introduction
Trapping Region
Poincare/Bendixson
Linear Systems
Dulac's Criterion
Hopf Bifurcation
Case Study
Discrete Systems
Chaos
Introduction
Lorenz System
Rossler System
Non-Autonomous Systems
Poincare Section
Case Study
Numerical Methods
Introduction
Types of Method
Maple
Errors
Zero Stability
Absolute Stability