MATH 475
Discrete Dynamical Systems, Chaos and Fractals
Winter 2023
Topics
- Iteration of functions
- Periodic points, fixed points and bifurcations
- Sharkovsky theory
- Hénon map
- Complex dynamics
- Julia and Mandelbrot sets
- Iterated-function systems and fractals
Readings
- Saber Elaydi. Discrete Chaos, 2nd edition.
- Michael F. Barnsley. Fractals Everywhere.
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Winter 2023
- Winter 2023 outline. Course header explicitly lists MATH 475, MAST 661, MAST 865. Both books are explicitly recommended but not obligatory.