Project topic ideas
With the project you can explore an area that interests you and
to be creative. Computer programs and investigations, artwork,
research papers, physical models... pick up your chice related to
dynamical systems somehow.
Make any suggestion and we can talk either in class or the
office hours. Some possible topics to think about:
- The Lorenz equations
- Anosov systems
- Complex dynamics
- Newton's method
- Julia/Mandelbrot sets
- Cellular automata
- Dynamics of card-shuffling.
- Symbolic dynamics
- Fixed-point theorems
- The n-body problem
- Lyapunov exponents and quantitative stability
- Billiard problems
- Bifurcations and cascades
- Structural stability theorems
- Keep going.