Outline

1. Chapter ONE, INTRODUCTION: What will you get out of the course
2. Chapter TWO, FLOWS on the line: Solving
   $$\dot x(t)=f(x(t)).$$
3. Chapter THREE, BIFURCATION: elementary biffurcation theory
4. Chapter FOUR, FLOWS on a circle
5. Chapter FIVE: LINEAR SYSTEMS
6. Chapter SIX: PHASE PLANE
7. Chapter SEVEN: LIMIT CYCLES
8. The End?
9. Chapter EIGHT: Biffurcations Revisited
10. Chapter NINE:Lorenz equations
11. Chapter TEN: Maps, fractals, Strange attractors

This is approximate, will modify as we go along.

BOOK S. H. Strogatz, Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering, Addison-Wesley.