444 citations · 2.3k across the 51 of their papers we have counts for
11 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…
Pitch perception: A dynamical-systems perspective
Julyan H. E. Cartwright, Diego L. Gonzalez, Oreste Piro
Two and a half millennia ago Pythagoras initiated the scientific study of the pitch of sounds; yet our understanding of the mechanisms of pitch perception remains incomplete. Physi…
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-…
Noise and Inertia-Induced Inhomogeneity in the Distribution of Small Particles in Fluid Flows
Julyan H. E. Cartwright, Marcelo O. Magnasco, Oreste Piro
The dynamics of small spherical neutrally buoyant particulate impurities immersed in a two-dimensional fluid flow are known to lead to particle accumulation in the regions of the f…