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

Rothman, Daniel H.

Author(s)

Rothman, Daniel H.

Download12-006JFall-2005/OcwWeb/Earth--Atmospheric--and-Planetary-Sciences/12-006JFall-2005/CourseHome/index.htm (12.88Kb)

Alternative title

Nonlinear Dynamics I: Chaos

Terms of use

Usage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.

Metadata

Show full item record

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.

Date issued

2005-12

URI

http://hdl.handle.net/1721.1/38877

Department

Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences; Massachusetts Institute of Technology. Department of Mathematics

Other identifiers

12.006J-Fall2005

local: 12.006J

local: 18.353J

local: 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

DSpace@MIT