(18.353/12.006/2.050)j   Rosales	MIT, Fall 2024 Back to 18.353 home page
Lectures
This page contains information relevant to the lectures: Lecture summaries, Lecture schedules, etc.
Lecture dates, room, and times.           Lecture 01.   2024/09/05; 9:30--11 (Thu).   Lecture 02.   2024/09/10; 9:30--11 (Tue).   Lecture 03.   2024/09/12; 9:30--11 (Thu).   Far out planets. Lecture 04.   2024/09/17; 9:30--11 (Tue).   Lecture 05.   2024/09/19; 9:30--11 (Thu).   Insect Break Surface. Lecture 06.   2024/09/24; 9:30--11 (Tue).   Extras. Lecture 07.   2024/09/26; 9:30--11 (Thu).   Things to read. Lecture 08.   2024/10/01; 9:30--11 (Tue).   Lecture 09.   2023/10/05; 9:30--11 (Thu).   Examples Phase Plane. Lecture 10.   2024/10/08; 9:30--11 (Tue).   Lagrangians, etc. Lecture 11.   2024/10/10; 9:30--11 (Thu).   Lecture 12.   2024/10/17; 9:30--11 (Thu).   Lecture 13.   2024/10/22; 9:30--11 (Tue).   Links to clock stuff. Lecture 14.   2024/10/24; 9:30--11 (Thu).   van der Pol notes. Lecture 15.   2024/10/29; 9:30--11 (Tue).                         Relaxation oscillations due to friction [stick-slip]. Lecture 16.   2024/10/31; 9:30--11 (Thu).   Lecture 17.   2024/11/05; 9:30--11 (Tue).   Lecture 18.   2024/11/07; 9:30--11 (Thu).   Ruelle and Takens (refs).                       Lissajous Figures (videos). Lecture 19.   2024/11/12; 9:30--11 (Tue).   Lecture 20.   2024/11/14; 9:30--11 (Thu).                         The Video Description.                       Shear map iteration pictures.                       URL's for chaos videos. Lecture 21.   2024/11/19; 9:30--11 (Tue).     Rossler Pictures.                       Lecture21_2021_scan.pdf.                       Lecture21_whiteboard353.pdf. Lecture 22.   2024/11/21; 9:30--11 (Tue).                         Notes on dimension. Lecture 23.   2024/11/26; 9:30--11 (Tue).                         Bouncing drops and dynamical systems slides. Lecture 24.   2024/12/03; 9:30--11 (Tue).                         Orbit Diagrams for the Logistic Map.                       The Logistic Map Iterates.                       MatLab for the Logistic Map.                       Scan for Lecture20_2021.pdf.                       [UNM] Unimodal Maps Notes. Lecture 25.   2024/12/05; 9:30--11 (Thu).                         Renormalization and Universality.                       Strange attractors and Lyapunov dimension.                       Some intuition for the Liapunov dimension. Lecture 26.   2024/12/10; 9:30--11 (Tue).                         The Manta ray attractor in a simple model                       for detonation waves. Below lecture notes from 2020, by Matt Durey. Note that these are not the "actual" lectures, but notes that he wrote while preparing the lectures. Thus they have lots of extra stuff. Lectures 1-2 pre.       Lectures 3-5 pre.       Lectures 7-8 pre. Lectures 9-11 pre.     Lectures 12-14 pre.   Lectures 14-15 pre. Lectures 16-17 pre.   Lectures 18-20 pre.   Lectures 21-22 pre. Lectures 23-24 pre. Aditional extras from prior years. Note that in the "Course Notes" of this web page there are extensive notes on selected subjects. Structural Stability. Model for switch. 2-D systems.   Existence theorem and numerical solution. Overdamped approximation.   Justification. Example:   phase portrait. Example:   phase portrait for a reversible system. Limit cycles.   Theorems. Method of multiple scales.   Examples.