Lecture Notes | Nonlinear Dynamics: Chaos | Earth, Atmospheric, and Planetary Sciences | MIT OpenCourseWare

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Prof. Daniel Rothman

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Fall 2022

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Undergraduate

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Lecture Notes

12.006J F2022 Lecture 1: Introduction to Nonlinear Dynamics: Chaos

12.006J F2022 Lecture 19: Introduction to Strange Attractors

12.006J F2022 Lecture 22: Henon Attractor

12.006J F2022 Lecture 23: Fractal Dimension

12.006J F2022 Lecture 24: Lyapunov Exponents

12.006J F2022 Lecture 28: Intermittency (and Quasiperiodicity)

12.006J F2022 Lectures 10–11: Bifurcations in Two Dimensions

12.006J F2022 Lectures 12–14: Spectral Analysis for Dynamical Systems

12.006J F2022 Lectures 15–16: Poincare Sections

12.006J F2022 Lectures 17–18: Fluid Dynamics and Rayleigh-Benard Convection

12.006J F2022 Lectures 2–3: Flows and Bifurcations in One Dimension

12.006J F2022 Lectures 20–21: Lorenz Equations

12.006J F2022 Lectures 25–27: Period Doubling Route to Chaos

12.006J F2022 Lectures 4-5: Pendulum and Stability in Two Dimensional Systems

12.006J F2022 Lectures 6–7: Dissipation and Contraction of Volumes in Phase Space

12.006J F2022 Lectures 8–9: Forced Oscillators and Limit Cycles

Course Info

Instructor

Prof. Daniel Rothman

Departments

As Taught In

Fall 2022

Level

Undergraduate

Topics

Learning Resource Types

Lecture Notes

Problem Sets

Projects

Instructor Insights

Download Course

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