OlinUnofficial | Olin Unofficial - Circuit Lorenz Attractor @OlinUnofficial | Uploaded April 2012 | Updated October 2024, 1 hour ago.
As a 1-week final project for Modeling and Control 2012 (ENGR 1110), Ian Hoover and I built a circuit which could solve the Lorenz set of differential equations in real time. We try to explain how our circuit works and also show some real-time plots of the Lorenz system using an oscilloscope.
Unfortunately, even though the Lorenz system is three-dimensional, the oscilloscope could only plot two inputs at a time. However, you can still get a sense of how dynamic and unpredictable this system is just by looking at two variables.
More information about our circuit can be found at:
http://frank.harvard.edu/~paulh/misc/lorenz.htm
Enjoy!
-Chaz Gwennap
Video by Ian Hoover and Chaz Gwennap
Music: Ratatat - Breaking Away
As a 1-week final project for Modeling and Control 2012 (ENGR 1110), Ian Hoover and I built a circuit which could solve the Lorenz set of differential equations in real time. We try to explain how our circuit works and also show some real-time plots of the Lorenz system using an oscilloscope.
Unfortunately, even though the Lorenz system is three-dimensional, the oscilloscope could only plot two inputs at a time. However, you can still get a sense of how dynamic and unpredictable this system is just by looking at two variables.
More information about our circuit can be found at:
http://frank.harvard.edu/~paulh/misc/lorenz.htm
Enjoy!
-Chaz Gwennap
Video by Ian Hoover and Chaz Gwennap
Music: Ratatat - Breaking Away
![Olin Unofficial - Chaos (Midnight Mathematicians) [HD]](https://i.ytimg.com/vi/oEL33xouxqY/hqdefault.jpg "Olin Unofficial - Chaos (Midnight Mathematicians) [HD]
Midnight Mathematicians is a club dedicated to discussing cool math-related principles in the form of student-given talks. They meet about every other Saturday night, at midnight, with cheese, fancy drinks, and most importantly, math. In this talk, Kevin OToole discusses Kakapos, population dynamics, and the math behind the existence of chaos.
More helpful links about chaos:
Mandelbrot bifurcation Diagram: http://upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Verhulst-Mandelbrot-Bifurcation.jpg/220px-Verhulst-Mandelbrot-Bifurcation.jpg
Sine(pi*x) diagram: http://classes.yale.edu/fractals/chaos/LogUniv/LogUniv.html
Feigenbaums Constant: http://classes.yale.edu/fractals/chaos/Feigenbaum/Feigenbaum.html
Keas mating call: http://www.youtube.com/watch?v=HKFHKZC676I
Kakapos mating call: http://en.wikipedia.org/wiki/Kakapo#Media")
![Olin Unoffical - Lecture from a Students Perspective [HD]](https://i.ytimg.com/vi/v5S3dpqiZWM/hqdefault.jpg "Olin Unoffical - Lecture from a Students Perspective [HD]
This is the beginning of a lecture given by Olin Professor Aaron Hoffman on March 28, 2012. The overall lecture was an introduction to non-linear Differential Equations for Linearity 1 (MTH 2188), a course all second-semester Freshman are required to take. This camera was placed in the back row of students.")
