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12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005

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12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005

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Alternative Title: Nonlinear Dynamics I: Chaos
Author: Rothman, Daniel H.
Date Issued: 2005-12
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.
URI: http://hdl.handle.net/1721.1/38877
Other Identifiers: 12.006J-Fall2005
Other Identifiers: 12.006J
18.353J
IMSCP-MD5-569427a72390c1f0fe7d4609b4ed7a72
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, Poincaré sections, fractal dimension, Lyaponov exponents, 400805, Plasma and High-Temperature Physics

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