Analysis of systems where time is treated in separate steps, such as the logistic map.
Examining the mathematical structures of chaos and the self-similar geometric patterns (fractals) that often accompany chaotic attractors. CHAOS: An Introduction to Dynamical Systems
Studying continuous systems where small changes in initial conditions lead to vastly different outcomes, often called the "butterfly effect". Analysis of systems where time is treated in
Exercises designed to be used with standard software packages to explore dynamics through simulation. CHAOS: An Introduction to Dynamical Systems