12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005
Name
12-006JFall-2005/OcwWeb/Earth--Atmospheric--and-Planetary-Sciences/12-006JFall-2005/CourseHome/index.htm
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12.88 KB
Format
HTML
Checksum (MD5)
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Author(s)
Rothman, Daniel H.
Alternative Title
Nonlinear Dynamics I: Chaos
Date Issued
December 2005
Abstract
Introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. 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, and Lyapunov exponents. Applications drawn from fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics II.
Subjects
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
Poincaré sections
fractal dimension
Lyaponov exponents
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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