Math 303 - Explorations in Integrated Science
Julia Sets
This MATLAB GUI iterates the quadratic map f(z) = z2+ c, where z and c are complex numbers. The (filled in) Julia set is the set of initial conditions z0 such that successive iterates z1 = f(z0), z2 = f(z1), ..., zn+1 = f(zn), ... remain bounded.
Diffusion at the Microscopic Level
This MATLAB GUI simulates the random motion of M non-interacting particles on a grid. Each particle can only go up, down, left or right, with equal probability. All of the particles start their random walk from the origin, at the center of the box.