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 …

Granular materials are ubiquitous in our daily lives. While they have been the subject of
intensive engineering research for centuries, in the last two decades granular matter has …

This paper develops the theory and computation of Lagrangian Coherent Structures (LCS),
which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE) fields. These ridges …

Many fundamental and intrinsic properties of small-scale motions in turbulence can be
described using the velocity gradient tensor. This tensor encodes interesting geometric and …

We use direct Lyapunov exponents (DLE) to identify Lagrangian coherent structures in two
different three-dimensional flows, including a single isolated hairpin vortex, and a fully …

Chaotic Dynamics provides a clear introduction to chaotic phenomena, based on
geometrical interpretations and simple arguments, without requiring prior in-depth scientific …

In this paper we apply dynamical systems analyses and computational tools to fluid transport
in empirically measured vortex ring flows. Measurements of quasisteadily propagating …

Lagrangian measurement of vorticity dynamics in turbulent flow Page 1 J. Fluid Mech. (2005),
vol. 528, pp. 87–118. c 2005 Cambridge University Press doi:10.1017/S0022112004003283 …

We present a technique that uncovers the Lagrangian building blocks of turbulence, and
apply this technique to a quasi-two-dimensional turbulent flow experiment. Our analysis …

Numerical simulations and experimental observations reveal that unsteady fluid systems
can be divided into regions of qualitatively different dynamics. The key to understanding …