18.385[J] Nonlinear Dynamics and Chaos

Class Info

Introduction to the theory of nonlinear dynamical systems with applications from science and engineering. Local and global existence of solutions, dependence on initial data and parameters. Elementary bifurcations, normal forms. Phase plane, limit cycles, relaxation oscillations, Poincare-Bendixson theory. Floquet theory. Poincare maps. Averaging. Near-equilibrium dynamics. Synchronization. Introduction to chaos. Universality. Strange attractors. Lorenz and Rossler systems. Hamiltonian dynamics and KAM theory. Uses MATLAB computing environment.

This class has 18.03, and 18.034 as prerequisites.

18.385[J] will not be offered this semester. It will be instructed by R. R. Rosales.

This class counts for a total of 12 credits. This is a graduate-level class.

In the Fall 2014 Subject Evaluations, 18.385[J] was rated 6.3 out of 7.0. You can find more information at the Course Website site.

MIT 18.385[J] Nonlinear Dynamics and Chaos Related Textbooks
MIT 18.385[J] Nonlinear Dynamics and Chaos On The Web
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