Ilya Kofman

A new twist on Lorenz Links

Abstract:

Joint work with Joan Birman.  The Lorenz differential equations have
become well-known as the prototypical chaotic dynamical system with a
"strange attractor". A periodic orbit in the flow on R^3 determined by
the Lorenz equations is a closed curve in R^3, which defines a Lorenz
knot. Lorenz knots contain many known classes of knots, but the
complete classification of Lorenz knots remains open; What types of
knots can occur?