336 citations · 1.5k across the 38 of their papers we have counts for
4 papers · 1 filter
Extreme Events: Mechanisms and Prediction
Mohammad Farazmand, Themistoklis P. Sapsis
Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantificat…
Polar rotation angle identifies elliptic islands in unsteady dynamical systems
Mohammad Farazmand, George Haller
We propose rotation inferred from the polar decomposition of the flow gradient as a diagnostic for elliptic (or vortex-type) invariant regions in non-autonomous dynamical systems.…
Hyperbolic Lagrangian coherent structures align with contours of path-averaged scalars
Mohammad Farazmand
While inequality (9) is mathematically correct, it does not imply alignment between path-averaged scalars and the hyperbolic LCSs.
Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems
Alireza Hadjighasem, Mohammad Farazmand, George Haller
We show how the recently developed theory of geodesic transport barriers for fluid flows can be used to uncover key invariant manifolds in externally forced, one-degree-of-freedom…