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Predicting Statistical Averages
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Classroom Contents
Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States
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- 1 Intro
- 2 Research Interests (Numerics and Experiments)
- 3 Spatially Extended Nonlinear Systems
- 4 Linear vs. Nonlinear Systems
- 5 Low-Dimensional Chaos
- 6 Order in Chaos
- 7 Outline of the Talk
- 8 Fluid Flows
- 9 Laminar and Turbulent Flows
- 10 Order in Turbulence
- 11 Exact Coherent States (ECS)
- 12 Previous Studies
- 13 Kolmogorov Flow
- 14 Theoretical Modeling
- 15 Turbulent Dynamics
- 16 Signatures of Unstable Equilibria
- 17 Equilibria from Experiment
- 18 The Linear Dynamical Model
- 19 Forecasting Turbulence
- 20 Expanding Eigendirections
- 21 Unstable Periodic Orbits (DNS)
- 22 UPOs in Experiment
- 23 Statistical Significance of UPOS
- 24 Predicting Statistical Averages
- 25 Connectivity Between ECS
- 26 Heteroclinic Connections (1)
- 27 A Homoclinic Connection
- 28 Network Model of Turbulence
- 29 Summary
