12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005
Citable URI: http://hdl.handle.net/1721.1/38877
| Title: | 12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005 |
| Author: | Rothman, Daniel H. |
| 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 |
| Issue Date: | 2005-12 |
| 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 |
| ID: | 12.006J-Fall2005 |
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Earth, Atmospheric, and Planetary Sciences (12) -
Earth, Atmospheric, and Planetary Sciences (12) -
Mathematics (18) - Archived
Mathematics (18)
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