32 citations · 59 across the 5 of their papers we have counts for
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Vorticity Alignment with Lyapunov Vectors and Rate-of-Strain Eigenvectors
Alex Encinas-Bartos, George Haller
We derive asymptotic estimates for the projection of the vorticity onto principal directions of material stretching in 3D flows. In flows with pointwise bounded vorticity, these es…
Data-Driven Modeling and Forecasting of Chaotic Dynamics on Inertial Manifolds Constructed as Spectral Submanifolds
Aihui Liu, Joar Axås, George Haller
We present a data-driven and interpretable approach for reducing the dimensionality of chaotic systems using spectral submanifolds (SSMs). Emanating from fixed points or periodic o…
Relative Fluid Stretching and Rotation for Sparse Trajectory Observations
Nikolas O. Aksamit, Alex P. Encinas-Bartos, George Haller +1
As most mathematically justifiable Lagrangian coherent structure detection methods rely on spatial derivatives, their applicability to sparse trajectory data has been limited. For…