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 …

The notion of a Lagrangian Coherent Structure (LCS) is by now well established as a way to
capture transient coherent transport dynamics in unsteady and aperiodic fluid flows that are …

There has been a proliferation in the development of Lagrangian analytical methods for
detecting coherent structures in fluid flow transport, yielding a variety of qualitatively different …

Lagrangian coherent structures (LCSs) are time-varying entities which capture the most
influential transport features of a flow. These can for example identify groups of particles …

The definition of climate itself cannot be given without a proper understanding of the key
ideas of long-term behavior of a system, as provided by dynamical systems theory. Hence, it …

Finite-time Lyapunov exponents (FTLEs) provide a powerful approach to compute time-
varying analogs of invariant manifolds in unsteady fluid flow fields. These manifolds are …

This letter studies how global dynamics and knowledge of high-level features can inform
decision-making for robots in flow-like environments. Specifically, we investigate how …

Abstract Branched Manifold Analysis through Homologies (BraMAH) is a technique that
computes the state-space topology of a dynamical reconstruction from scalar data. This work …

This work describes the application of a technique that extracts branched manifolds from
time series to study numerically generated fluid particle behaviour in the wake past a …

Ballistic capture is a phenomenon by which a spacecraft approaches its target body, and
performs a number of revolutions around it, without requiring manoeuvres in between …