18.386 Advanced Nonlinear Dynamics and Chaos
Advanced subject on the modern theory of nonlinear dynamical systems with an emphasis on applications in science and engineering. Invariant manifolds, homoclinic orbits, global bifurcations. Hamiltonian systems, completely integrable systems, KAM theory. Different mechanisms for chaotic dynamics, Shilnikov-type orbits, attractors, horseshoes, symbolic dynamics. Geometric singular perturbation theory. Physical applications.
This class has 18.385 as a prerequisite.
This class counts for a total of 12 credits. This is a graduate-level class.
You can find more information at the Nonlinear Dynamics: 2.034 site.
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