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Nonlinear Dynamics I: Chaos

By Daniel Rothman

Abstract

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. The content is structured to be of general interest to undergraduates in science and engineering

Topics: 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, Lyaponov exponents
Year: 2006
OAI identifier: oai:dspace.mit.edu:1721.1/84612
Provided by: DSpace@MIT
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