How systems change over time: flows and maps, fixed points and linear stability, phase portraits, limit cycles and Poincaré–Bendixson, bifurcations, the logistic map and the period-doubling road to chaos, sensitive dependence, Lyapunov exponents, strange attractors, and fractal dimension.
Free to start · adaptive placement finds your level · reviews timed to your own forgetting.
Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the day its model predicts you would forget it. A short placement check finds what you already know, so you start Dynamical Systems & Chaos exactly where it's useful.