18 386 - Advanced Nonlinear Dynamics and Chaos

Institution:

Massachusetts Institute of Technology

Subject:

Description:

Advanced subject on the modern theory of nonlinear dynamical systems with an emphasis on applications in science and engineering. Invariant manifolds, homoclinic orbits, global bifurcations. Hamiltonian systems, completely integrable systems, KAM theory. Different mechanisms for chaotic dynamics, Shilnikov-type orbits, attractors, horseshoes, symbolic dynamics. Geometric singular perturbation theory. Physical applications.

Credits:

3.00

Credit Hours:

Prerequisites:

Prereq: 18.385 or permission of instructor

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

web.mit.edu/student/

Phone Number:

(617) 253-1000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Four-one-four plan

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