(18.353/12.006/2.050)j   Rosales
  		MIT, Fall 2023
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Lectures
This page contains information relevant to the lectures: Lecture summaries, Lecture schedules, etc.

Lecture dates, room, and times.           Lecture schedule.

Lecture 01.   2023/09/07; 9:30--11 (Thu).  
Lecture 02.   2023/09/12; 9:30--11 (Tue).  
Lecture 03.   2023/09/14; 9:30--11 (Thu).   Far out planets.
Lecture 04.   2023/09/19; 9:30--11 (Tue).  
Lecture 05.   2023/09/21; 9:30--11 (Thu).  
Lecture 06.   2023/09/26; 9:30--11 (Tue).   Extras.
Lecture 07.   2023/09/28; 9:30--11 (Thu).   Things to read.
Lecture 08.   2023/10/03; 9:30--11 (Tue).  
Lecture 09.   2023/10/05; 9:30--11 (Thu).   Examples Phase Plane.
Lecture 10.   2023/10/12; 9:30--11 (Thu).  
Lecture 11.   2023/10/17; 9:30--11 (Tue).  
Lecture 12.   2023/10/19; 9:30--11 (Thu).  
Lecture 13.   2023/10/24; 9:30--11 (Tue).  
Lecture 14.   2023/10/26; 9:30--11 (Thu).  
Lecture 15.   2023/10/31; 9:30--11 (Tue).  
                      van der Pol existence and period.
Lecture 16.   2023/11/02; 9:30--11 (Thu).  
                      Relaxation oscillations due to friction [stick-slip].
Lecture 17.   2023/11/07; 9:30--11 (Tue).  
Lecture 18.   2023/11/09; 9:30--11 (Thu).  
Lecture 19.   2023/11/14; 9:30--11 (Thu).  
                      The Video Description.
                      Shear map iteration pictures.
                      URL's for chaos videoss.
Lecture 20.   2023/11/16; 9:30--11 (Thu).  
                      MatLab for Logistic Map.
                      Orbit Diagram Logistic Map.
                      Rossler Pictures.
                      The Logistic Map Iterates.
Lecture 21.   2023/11/21; 9:30--11 (Tue).  
Lecture 22.   2023/11/28; 9:30--11 (Tue).  
                      Lecture20_2021_scan.pdf.
Lecture 23.   2023/11/30; 9:30--11 (Thu).  
                      Lecture21_2021_scan.pdf.
Lecture 24.   2023/12/05; 9:30--11 (Tue).  
Lecture 25.   2023/12/07; 9:30--11 (Thu).  
                      The Manta ray attractor in a simple model
                      for detonation waves.
Lecture 26.   2023/12/12; 9:30--11 (Tue).  
                      Bouncing drops and dynamical systems.

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.