# Seminars

# Atmosphere Ocean Science Friday Seminar

#### <s>Periodic orbits</s> n-tori and where to find them

**Speaker:**
Claire Valva, CAOS

**Location:**
Warren Weaver Hall 1314

**Date:**
Friday, December 1, 2023, 4 p.m.

**Synopsis:**

We can understand the statistical properties of the chaotic dynamics of turbulence is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system’s chaotic attractor, such as periodic orbits or invariant tori which capture quasi-periodic dynamics. As such, we are interested in finding ways to both detect and (numerically) converge these objects. In this talk, I will give an overview of ~~periodic orbit~~ n-tori theory and its applications to studying turbulence, and then present a method for generating guesses for invariant tori by processing turbulent data using dynamic mode decomposition (DMD). I will discuss examples including an implementation of this method where we find 2-tori from the Kuramoto-Sivashinsky equation in a chaotic regime.