Strange Attractors Map of possible outcomes given the starting conditions Lorenz clickable Balloon Fiesta Viz. Mag Pendulum Henon x_{n+1} = y_n+1-a x_n^2\, y_{n+1} = b x_n\,. Clickable zooms Loops in phase space are stable orbits Neuron Eqn's du/dt= c (- v + u -u3/3 + I(t)) dv/dt= u - b v + a Sand Traveler De Jong xn+1 = sin(a yn) - cos(b xn) yn+1 = sin(c xn) - cos(d yn)