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Searched for: "18.385"    Subjects offered any term

1 subject found.

18.385[J] Nonlinear Dynamics and Chaos

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(Same subject as 2.036[J])
Prereq: 18.03 or 18.032
Units: 3-0-9
http://math.mit.edu/classes/18.385
Lecture: TR11-12.30 (2-135)

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.
R. Rosales
Textbooks (Fall 2018)