75 citations · 397 across the 23 of their papers we have counts for
3 papers · 1 filter
Global phase-space geometry of three-dimensional gliding: terminal velocity manifolds, separatrices, and stability structure
Mohamed Zakaria, Shane D. Ross
We develop a three-dimensional dynamical-systems framework for passive gliding and identify the global phase-space structures that organize its motion. Extending previous two-dimen…
Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
Xuping Xie, Peter J. Nolan, Shane D. Ross +2
There are two main strategies for improving the projection-based reduced order model (ROM) accuracy: (i) improving the ROM, i.e., adding new terms to the standard ROM; and (ii) imp…
Demonstration of Experimental Three Dimensional Finite Time Lyapunov Exponents with Inertial Particles
Samuel G. Raben, Shane D. Ross, Pavlos P. Vlachos
This work provides an experimental method for simultaneously measuring finite time Lyapunov exponent fields for multiple particle groups, including non-flow tracers, in three-dimen…