CSUMS, Monday, May. 18

MATLAB Exercises.

Lorenz Exercise

In 1963, Dr. Edward N. Lorenz published the paper Deterministic Nonperiodic Flow in the Journal of the Atmospheric Sciences, and in so doing he essentially founded the field of Chaos Theory. In this paper, Dr. Lorenz introduced a system of three differential equations and demonstrated through a numerical solution their extreme sensitive dependence on initial conditions. This paper is available here.

Exercise. Reproduce Figures 1 and 2 from Loren's '63 Paper using MATLAB. Here is some code to get you started.

Hint.The best way to approach this problem is to use ode45. For an overview of this solver, type help ode45 into the matlab prompt, or doc ode45 for more in-depth information.

Created in 2009 by Taylor Hines. Not for general distribution; some of this content is borrowed from other sources.