Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States

Explore the dynamics and statistics of turbulent flows in this seminar by Balachandra Suri from the Institute of Science and Technology, Austria. Delve into the concept of Exact Coherent States (ECS) as a framework for predicting turbulent behavior. Learn how coherent structures in moderately turbulent quasi-two-dimensional laboratory flows relate to ECS. Discover a low-dimensional model for forecasting turbulent evolution and understand how frequently appearing ECS capture statistical averages of turbulent flows. Gain insights into the geometrical description of transient turbulence using dynamical connections between ECS. Examine topics such as spatially extended nonlinear systems, Kolmogorov flow, unstable equilibria, and unstable periodic orbits in both numerical simulations and experiments. Investigate the statistical significance of ECS in predicting averages and explore the connectivity between ECS through heteroclinic and homoclinic connections. Conclude with a network model of turbulence that provides a new perspective on this complex phenomenon.