12.006J / 18.353J / 2.050J Nonlinear Dynamics I: Chaos, Fall 2006

Author(s)
Rothman, Daniel
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Alternative title
Nonlinear Dynamics I: Chaos
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Abstract
This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering.
Date issued
2006-12
URI
http://hdl.handle.net/1721.1/84612
Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Mechanical Engineering
Other identifiers
12.006J-Fall2006
local: 12.006J
local: 18.353J
local: 2.050J
local: IMSCP-MD5-b14f4f80b1ab87db61b7569a9563b93e
Keywords
Forced and parametric oscillators, Phase space, Periodic, quasiperiodic, and aperiodic flows, Sensitivity to initial conditions and strange attractors, Lorenz attractor, Period doubling, intermittency, and quasiperiodicity, Scaling and universality, Analysis of experimental data: Fourier transforms, Poincar? sections, fractal dimension, Lyaponov exponents
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