3 implies Chaos

Fri Feb 18, 2022 12:00 p.m.—1:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

This event has passed.

Seminar: 
Graduate Student Seminar

Event time: 
Friday, February 18, 2022 - 12:00pm

Speaker: 
Mikey Chow

Speaker affiliation: 
Yale University 

Event description: 
It is well known that chaos arises from 3-body problems (both in the planetary sense as in Reuben’s talk and in the romantic sense). In this talk, we will discuss the (not) more general statement that “3 implies chaos”. Topics to be surveyed are the classical example of the logistic function, connections to the Mandelbrot set and the classical results of Li–Yorke and Sharkovsky, giving a streamlined proof of the latter due to Burns-Hasselblatt.

Contact: 
GSS website

yale.math.grad.student.seminar@gmail.com