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

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

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, intermittenc...

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Bibliographic Details
Main Author: Rothman, Daniel H.
Language:en-US
Published: 2005
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
Online Access:http://hdl.handle.net/1721.1/38877

Internet

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

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