Complex irregular behavior is a characteristic of chaotic systems, which is usually visualized through the time series of an observable. Many natural and engineering systems exhibit a second level of complexity typified by intermittent bursts in the time series of their observables. Examples include rogue waves in the ocean, extreme weather patterns, epileptic seizure and intermittent energy dissipation in turbulent fluid flows.
We are interested in discovering the mechanisms that lead to the formation of extreme events and their data-driven prediction. When possible, we are also interested in mitigating the extreme events by designing appropriate optimal control strategies.
Prediction of extreme events in 3D turbulence:
Variational method for prediction of extreme events:
Prediction of rogue waves:
Precursor for rare, extreme events in high-dimensional systems:
Intermittent energy dissipation in turbulent flows: