446 citations · 1.5k across the 19 of their papers we have counts for
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nlin.CD2012★ 16 cited
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…
nlin.CD2012★ 2 cited
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…