A topological view of the Lorenz equations
Seminar
Speaker
Tali Pinsky, Technion
Date
17/10/2021 - 13:30 - 12:00Add to Calendar
2021-10-17 12:00:00
2021-10-17 13:30:00
A topological view of the Lorenz equations
The Lorenz equations are a classical example of a chaotic flow in R^3. As they are hard to analyze, a simpler geometric model that is chaotic in the same way has been proposed. Smale’s 14th problem was to prove that the original Lorenz flow is equivalent to the geometric model.
In this talk I intend to describe the geometric model and a recent extension that preserves more of the global topology of the flow. I’ll explain how this new model is strongly related to the geodesic flow on the modular surface, and how it yields a way to approach analytically Smale’s 14th problem.
This is joint work with Christian Bonatti.
https://us02web.zoom.us/j/89761638518
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
https://us02web.zoom.us/j/89761638518
Abstract
The Lorenz equations are a classical example of a chaotic flow in R^3. As they are hard to analyze, a simpler geometric model that is chaotic in the same way has been proposed. Smale’s 14th problem was to prove that the original Lorenz flow is equivalent to the geometric model.
In this talk I intend to describe the geometric model and a recent extension that preserves more of the global topology of the flow. I’ll explain how this new model is strongly related to the geodesic flow on the modular surface, and how it yields a way to approach analytically Smale’s 14th problem.
This is joint work with Christian Bonatti.
In this talk I intend to describe the geometric model and a recent extension that preserves more of the global topology of the flow. I’ll explain how this new model is strongly related to the geodesic flow on the modular surface, and how it yields a way to approach analytically Smale’s 14th problem.
This is joint work with Christian Bonatti.
Last Updated Date : 17/10/2021
