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Showing 2021 · math.DSShow all
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math.DS2021★ 8 cited
Exponential Mixing by Orthogonal Non-Monotonic Shears
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
Non-monotonic velocity profiles are an inherent feature of mixing flows obeying non-slip boundary conditions. There are, however, few known models of laminar mixing which incorpora…
math.DS2021★ 2 cited
A Continuous Family of Non-Monotonic Toral Mixing Maps
Joe Myers Hill, Rob Sturman, Mark C. T. Wilson
We establish the mixing property for a family of Lebesgue measure preserving toral maps composed of two piecewise linear shears, the first of which is non-monotonic. The maps serve…
math.DS2021
Dead zones and phase reduction of coupled oscillators
Peter Ashwin, Christian Bick, Camille Poignard
A dead zone in the interaction between two dynamical systems is a region of their joint phase space where one system is insensitive to the changes in the other. These can arise in…