
Example 5.1.1. Closed orbits in the simple harmonic oscillator. 

Example 5.1.2. A pair of uncoupled linear equations. 

Example 5.2.5. A degenerate node has only one eigenvector. 

Example 5.3.1. Love affairs. 

Example 6.3.1. Saddles and stable nodes. 

Example 6.4. Rabbits versus Sheep. 

Example 6.5.2. Particle moving in a double well potential. 

Example 6.6.1. System with a nonlinear centre at the origin. 

Example 6.6.2. Symmetrical system with a homoclinic orbit. 

Example 6.6.3. A symmetrical system that is reversible but not conservative. 

Example 6.7. The linearly damped pendulum. 