I will continue the presentation of my recent work with Mikko Stenlund on
periodic pulsatile perturbations of flows that admit weakly stable
hyperbolic limit cycles. We show that if shear is present in the
unperturbed flow, then sustained, observable chaotic behavior can replace
the limit cycle when the system is subjected to a periodic pulsatile drive.
In part 1, we stated our main result and introduced a model of linear shear
flow. In part 2, we study the simplified linear shear flow model in order
to illustrate the geometric ideas behind the main result and highlight the
components of its proof.
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Last modified: April 08 2016 - 20:30:35