# Bulletin of the American Physical Society

# 75th Annual Meeting of the Division of Fluid Dynamics

## Volume 67, Number 19

## Sunday–Tuesday, November 20–22, 2022; Indiana Convention Center, Indianapolis, Indiana.

### Session T21: Nonlinear Dynamics: Mathematical

4:10 PM–6:46 PM,
Monday, November 21, 2022

Room: 207

Chair: Bartosz Protas, McMaster University

### Abstract: T21.00008 : Discrete and Continuous Symmetry Reduction for Minimal Parametrizations of Chaotic Kolmogorov Flows

5:41 PM–5:54 PM

#### Presenter:

Simon Kneer

(Max Planck Institute for the Physics of Complex Systems)

#### Authors:

Simon Kneer

(Max Planck Institute for the Physics of Complex Systems)

Nazmi Burak Budanur

(Max Planck Institute for the Physics of Complex Systems)

We formulate a symmetry reduction that combines first Fourier mode slicing with invariant polynomials that yields a fully invariant formulation of the corresponding dynamical system. Through this symmetry reduction, we are able to find a minimal approximation to the inertial manifold of this system as well as

ordinary differential equations on this manifold that describe the dynamics.

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