446 citations · 1.5k across the 19 of their papers we have counts for
4 papers · 1 filter
Frontiers of chaotic advection
Hassan Aref, John R. Blake, Marko Budišić +20
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid…
Geometric Mixing, Peristalsis, and the Geometric Phase of the Stomach
Jorge Arrieta, Julyan H. E. Cartwright, Emmanuelle Gouillart +3
Mixing fluid in a container at low Reynolds number - in an inertialess environment - is not a trivial task. Reciprocating motions merely lead to cycles of mixing and unmixing, so c…
Geometric phases in discrete dynamical systems
Julyan H. E. Cartwright, Nicolas Piro, Oreste Piro +1
In order to study the behaviour of discrete dynamical systems under adiabatic cyclic variations of their parameters, we consider discrete versions of adiabatically-rotated rotators…
Bailout Embeddings and Neutrally Buoyant Particles in Three-Dimensional Flows
J. H. E. Cartwright, M. O. Magnasco, O. Piro +1
We use the bailout embeddings of three-dimensional volume-preserving maps to study qualitatively the dy- namics of small spherical neutrally buoyant impurities suspended in a time-…