Explore chaos in the logistic map (cf. [url]http://en.wikipedia.org/wiki/Logistic_map[/url]) using the sliders below. [b][i]x[/b][/i] represents the population relative to its maximum value. Vary [b][i]r[/i][/b] to explore different models. Vary the initial [b][i]x[/i][/b] value (red dot) to see what the stable populations ([b][i]x[/i][/b] values) are. Vary [i][b]N[/b][/i] to see how the cobweb is constructed. For instance, start at [b][i]N[/i][/b]=1 and work up slowly to see what the simulation is doing.
What values of [b][i]r[/i][/b] are interesting? Can you find the bifurcation points ([b][i]r[/i][/b]-values at which the number of stable populations doubles)? Use [url]http://en.wikipedia.org/wiki/File:Logistic_Bifurcation_map_High_Resolution.png[/url] to help you.