Math 303 - Explorations in Integrated Science


Julia Sets

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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.

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Diffusion at the Microscopic Level

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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.

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