Dynamics of Nonlinear Systems, MIT OpenCourseWare (OCW)

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Massachusetts Institute of Technology,
77 Massachusetts Avenue,
Cambridge, MA 02139-4307,

Course Description,
This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.