Campuses:

stability

Friday, May 18, 2018 - 9:00am - 9:50am
Michael Polis (Oakland University)
The North American electric power grid is a large existing distributed network that will present new stability and control problems should the penetration of distributed renewable sources, controllable loads, and local-area energy storage capabilities become a significant portion of the overall grid. Roof-top solar panels and small wind turbines represent renewable sources, plug-in hybrids or all electric vehicles represent controllable loads, and battery packs would be local storage devices.
Wednesday, November 2, 2016 - 10:15am - 11:05am
Gadi Fibich (Tel Aviv University)
The critical power for collapse appears to place an upper bound on the amount of power that can be propagated by intense laser beams. In various applications, however, it is desirable exceed this limit and deliver more power. In this talk I will present new solitary waves of the two-dimensional nonlinear Schrodinger equation on bounded domains, which have a “necklace’ structure. I will consider their structure, stability, and how to compute them. In particular, I will show that these solitary waves can stably propagate more than the critical power for collapse.
Wednesday, September 14, 2016 - 3:10pm - 4:00pm
Bin Yu (University of California, Berkeley)
In this talk, I'd like to discuss the intertwining importance and connections of three principles of data science in the title in data-driven decisions. The ultimate importance of prediction lies in the fact that future holds the unique and possibly the only purpose of all human activities, in business, education, research, and government alike.
Making prediction as its central task and embracing computation as its core, machine learning has enabled
Saturday, June 25, 2016 - 10:15am - 11:05am
Wenxian Shen (Auburn University)
The current talk is concerned with transition fronts of nonlocal dispersal evolution equations in heterogeneous media. As it is known, solutions of nonlocal dispersal evolution equations do not become smoother in space as time elapses. This lack of space regularity would cause a lot of difficulties in studying transition fronts in nonlocal dispersal evolution equations. In the current talk, I will first present some general criteria concerning space regularity of transition fronts in nonlocal dispersal evolution equations with a large class of nonlinearities.
Thursday, June 23, 2016 - 9:00am - 9:50am
Robert Sacker (University of Southern California)
Two elementary Ricker maps in the positive half-line are coupled to produce a planar mapping leaving the positive cone invariant. While this mapping appears to provide an exercise fit for a Calculus class, it is one of the most challenging problems ever experienced by the authors, namely to prove global attraction to the interior fixed point, already known to be asymptotically stable. Oddly, the case of very small coupling is the most difficult to analyze.
Wednesday, October 21, 2015 - 11:30am - 12:20pm
Neil Walton (Universiteit van Amsterdam)
We consider distributed control in two distinct network applications: sponsored search and switched networks.

First, we consider a large-scale sponsored search market. For this pay-per-click market, we discuss an efficient and highly decomposed mechanism that maximizes social welfare. Here on each search occurrence, the search-platform solves an assignment problem and, on a slower time scale, each advertiser submits a bid which matches its demand for click-through with supply.
Wednesday, July 29, 2009 - 2:00pm - 2:50pm
Tao Luo (Georgetown University)
I will present some results on the existence and
nonlinear stability for the rotating star solutions which are
axi-symmetric steady-state solutions of the compressible
isentropic Euler-Poisson equations in 3 spatial dimensions.
We then apply these results to rotating white dwarf stars to
show its dynamical stability when the total
mass is less than a critical mass, which is related to the
Chandrasekharlimit in astrophysics. This is a joint work
with Joel Smoller.
Monday, February 22, 2016 - 2:45pm - 3:30pm
Alexandre Tartakovsky (Pacific Northwest National Laboratories)
We study the effect of the uncertainty of wind power on the angular stability of power systems, including a single-machine, infinite-bus (SMIB) system, and a three-generator, nine-bus multi-machine system, which are subject to a self-clearing three-phase fault.
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