Defining attractor, chaos, and strange attractor. Transient chaos in games of chance. Dynamics on the Lorenz attractor. Reduction to a 1-D map: the Lorenz map. Ruling out stable limit cycles for the Lorenz system when r = 28. Cobweb diagrams.
Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 9.3, 9.4.