The behavior of complex systems is determined not only by the topological organization of
their interconnections but also by the dynamical processes taking place among their …

A method for objectively extracting the displacement signals associated with coherent
eddies from Lagrangian trajectories is presented, refined, and applied to a large dataset of …

We introduce a network (graph) theoretic community-based framework to extract vortical
structures that serve the role of connectors for the vortical interactions in two-and three …

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of
coherent vortices. Here we show that such coherent vortices can be extracted as clusters of …

We present a network-based modal analysis technique that identifies key dynamical paths
along which perturbations amplify over a time-varying base flow. This analysis is built upon …

Distinguishing between direct and indirect connections is essential when interpreting
network structures in terms of dynamical interactions and stability. When constructing …

It has been known that noise in a stochastically perturbed dynamical system can destroy
what was the original zero-noise case barriers in the phase space (pseudobarrier). Noise …

In the Lagrangian approach, the transport processes in the ocean and atmosphere are
studied by tracking water or air parcels, each of which may carry different tracers. In the …

In this paper, we use the finite-size Lyapunov exponent (FSLE) to characterize Lagrangian
coherent structures in three-dimensional (3D) turbulent flows. Lagrangian coherent …

Scalar mixing plays a significant role for transport in geophysical flows because it controls
dilution and is a main driver for many chemical reactions. Here we study the local scale flow …