24 citations · 65 across the 15 of their papers we have counts for
4 papers · 1 filter
A Moment-Based Eulerian Method for Variance-Based Finite-Time Lyapunov Exponent Computation in Stochastic Flows
Shingyu Leung
Variance-based finite-time Lyapunov exponents (vFTLEs) provide a stochastic analogue of deterministic FTLE by measuring the covariance of stochastic arrival locations. Existing PDF…
Local Trajectory Variation Exponent (LTVE) for Visualizing Dynamical Systems
Yun Chen Tsai, Shingyu Leung
The identification and visualization of Lagrangian structures in flows plays a crucial role in the study of dynamic systems and fluid dynamics. The Finite Time Lyapunov Exponent (F…
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems
Wai Ming Chau, Shingyu Leung
We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as…
Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents
Guoqiao You, Tony Wong, Shingyu Leung
We propose a new Eulerian numerical approach for constructing the forward flow maps in continuous dynamical systems. The new algorithm improves the original formulation developed i…