Complex/Dynamical Systems Seminar - Patrick Weidman

Anonymous — Thu, 13 Dec 2018 07:00:00 +0000

Complex/Dynamical Systems Seminar - Patrick Weidman Anonymous (not verified) Thu, 12/13/2018 - 00:00

The boundary layer flow induced above the torsional motion of a disk

The boundary layer flow above a disk in torsional motion with angular velocity proportional to r^m is investigated for all values of m > 0. The induced flow is fully three dimensional and we compute wall shear stresses in the radial and azimuthal directions as a function of the torsional exponent m. Also we compute the flow induced in the far field. The large m asymptotics of the problem are computed and compared with numerical solutions. It is noted that m = 1 corresponds to the classic problem of von Karman disk flow.

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Complex/Dynamical Systems Seminar - Ian Klasky

Anonymous — Thu, 25 Jan 2018 07:00:00 +0000

Complex/Dynamical Systems Seminar - Ian Klasky Anonymous (not verified) Thu, 01/25/2018 - 00:00

Quantifying Resilience in One-Dimensional Dynamical Systems

In common discourse, resilience is often taken to be the ability of a system to undergo disturbance(s) while retaining useful characteristics. A mathematically precise definition of resilience would allow us to assess and compare quantities of resilience in a range of natural and engineered systems. In this study, we develop a method for quantifying the resilience of single population systems to regular disturbance based on its growth dynamics.

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