5 ms·
Took Dr. Yorke’s undergraduate course on dynamical systems at Maryland. By far my favorite course ever. Interesting to note that the result discussed in this pa
by Cieplak 8y ago
Took Dr. Yorke’s undergraduate course on dynamical systems at Maryland. By far my favorite course ever. Interesting to note that the result discussed in this paper was independently discovered a few years earlier by Sharkovskii [1].
[1] https://en.wikipedia.org/wiki/Sharkovskii's_theorem https://en.wikipedia.org/wiki/Sharkovskii's_theorem
- espeed 8y agoHow cool that would have been. Would love to hear about any of the class gems, insight or otherwise. What year did you attend?
- meuk 8y agoFrom the wiki page, I am led to believe that he proved a weaker result, being that if there are cycles of period three then there are cycles of every period (which is not the period three implies chaos result). See the second paragraph in the section 'Generalizations'.