12.006J / 18.353J / 2.050J Nonlinear Dynamics I: Chaos, Fall 2006
Name
12-006j-fall-2006/contents/index.htm
Size
30.5 KB
Format
HTML
Checksum (MD5)
598e6aa993fd779b738cd2f783d50220
Author(s)
Rothman, Daniel
Alternative Title
Nonlinear Dynamics I: Chaos
Date Issued
December 2006
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.
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
Poincar? sections
fractal dimension
Lyaponov exponents
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Persistent DSpace Link
