Typical fluid particle trajectories are sensitive to changes in their initial conditions. This
makes the assessment of flow models and observations from individual tracer samples …

▪ Abstract Chaotic advection and, more generally, ideas from dynamical systems, have been
fruitfully applied to a diverse, and varied, collection of mixing and transport problems arising …

The brain's ability to tell time and produce complex spatiotemporal motor patterns is critical
for anticipating the next ring of a telephone or playing a musical instrument. One class of …

Fertilization of the ocean by adding iron compounds has induced diatom-dominated
phytoplankton blooms accompanied by considerable carbon dioxide drawdown in the …

The simplest mixing problem corresponds to the mixing of a fluid with itself; this case
provides a foundation on which the subject rests. The objective here is to study mixing …

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 introduce a new approach to locating key material transport barriers in two-dimensional,
non-autonomous dynamical systems, such as unsteady planar fluid flows. Seeking transport …

Using the recently developed variational theory of hyperbolic Lagrangian coherent
structures (LCSs), we introduce a computational approach that renders attracting and …

The effect of the geostrophic stirring on phytoplankton variability during the northeast Atlantic
spring bloom is studied by analyzing satellite derived surface chlorophyll, sea surface …

Using precision measurements of tracer particle trajectories in a two-dimensional fluid flow
producing chaotic mixing, we directly measure the time-dependent stretching field. This …