12.006 Nonlinear Dynamics: Chaos


Class Info

Introduction to 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, Poincare sections, fractal dimension, and Lyapunov exponents. Applications to mechanical systems, fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics: Continuum Systems.

This class has 18.03, 18.034, and 8.02 as prerequisites.

12.006 will be offered this semester (Fall 2017). It is instructed by P-T. Brun.

Lecture occurs 1:00 PM to 2:30 PM on Tuesdays and Thursdays in 2-105.

This class counts for a total of 12 credits.

You can find more information on MIT OpenCourseWare at the Nonlinear Dynamics I: Chaos site or on the 12.006 Stellar site.

MIT 12.006 Nonlinear Dynamics: Chaos Related Textbooks
MIT 12.006 Nonlinear Dynamics: Chaos On The Web
Nonlinear Dynamics I: Chaos
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nonlinear license by-nc-sa massachusetts institute of technology lyubov chumakova

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