University at Buffalo 3 credits Mechanical & Aerospace Engr
A first course in the theory of nonlinear dynamical systems. Topics included are: point attractors, limit cycles, linear and nonlinear resonance, Poincare map, self exciting system, chaotic attractors in forced oscillators, stability and bifurcations, Liapunov stability and structural stability, center manifold theorem, local bifurcations, incipient instability, iterated maps and their stabilities, the geometry of recurrence, the Lorenz system, Lorenz attractor, transition to chaos, Rossler’s band, Smale’s horseshoe map, homoclinical trajectories, bifurcations and chaotic attractors.
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