AM136. Syllabus

• Week 1. (1/23-1/25) Introduction, canonical example of chaos
• Week 2. (1/28-2/1) Basics of dynamical systems: dynamics near fixed points
• Week 3. (2/4-2/8) Equations and maps, Matlab and basic computer codes
• Week 4. (2/11-2/15) Stable and unstable manifolds
• Week 4. (2/20-2/22) Geometry of chaos: homoclinic orbits
• Week 5. (2/25-3/1) Horsehose maps and chaotic attractors
• Week 6. (3/4-3/8) Fractals and dimension calculations
• Week 7. (3/11-3/15) Lyapunov exponents
• Week 8. (3/18-3/22) Hamiltonian systems
• Spring break
• After spring break:
• Exact schedule to be determined
• Processing of time series and detection of chaos
• Focus on projects