2.036[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.

2.036[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.

You can find more information on MIT OpenCourseWare at the Nonlinear Dynamics and Chaos site.

MIT 2.036[J] Nonlinear Dynamics and Chaos Related Textbooks
MIT 2.036[J] Nonlinear Dynamics and Chaos On The Web
Nonlinear Dynamics and Chaos
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