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Applied Dynamical Systems

MAE 541/APC 571

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Phase-plane methods and single-degree-of-freedom nonlinear oscillators; invariant manifolds, local and global analysis, structural stability and bifurcation, center manifolds, and normal forms; averaging and perturbation methods, forced oscillations, homoclinic orbits, and chaos; Melnikov's method, the Smale horseshoe, symbolic dynamics, and strange attractors; introduction to ergodic theory and the ergodic theorems.
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Section L01