537 citations · 1.3k across the 18 of their papers we have counts for
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The Size of Ghost Rods
Jean-Luc Thiffeault, Emmanuelle Gouillart, Matthew D. Finn
'Ghost Rods' are periodic structures in a two-dimensional flow that have an effect on material lines that is similar to real stirring rods. An example is a periodic island: materia…
Topological Mixing with Ghost Rods
Emmanuelle Gouillart, Jean-Luc Thiffeault, Matthew D. Finn
Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in order to form nontrivial braids. This motion generates exponential stretching of material…
Topological Chaos in Spatially Periodic Mixers
Matthew D. Finn, Jean-Luc Thiffeault, Emmanuelle Gouillart
Topologically chaotic fluid advection is examined in two-dimensional flows with either or both directions spatially periodic. Topological chaos is created by driving flow with movi…