Thursday, 18 February 2010

New Paper on Period Doubling Cascades and Chaos

The timing of this paper is excellent, as we've been discussing it in lecture. This new paper by Evelyn Sander and Jim Yorke is a (mostly) expository paper about the period doubling route to chaos. It includes some of the pictures that I mentioned but was unable to draw, and it also relates what we've seen in maps to what we have seen a bit (problem 5 on homework sheet 2) and what we will see more in flows. I don't recommend a cover-to-cover reading, but I think a perusal of relevant parts of the paper could be helpful.

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