Receipt for payment by Samuel Pennock Bernard, 26 July 1879

https://egrove.olemiss.edu/bernard/1057/thumbnail.jp

Neural ensemble decoding reveals a correlate of viewer- to object-centered spatial transformation in monkey parietal cortex

The parietal cortex contains representations of space in multiple coordinate systems including retina-, head-, body-, and world-based systems. Previously, we found that when monkeys are required to perform spatial computations on objects, many neurons in parietal area 7a represent position in an object-centered coordinate system as well. Because visual information enters the brain in a retina-centered reference frame, generation of an object-centered reference requires the brain to perform computation on the visual input. We provide evidence that area 7a contains a correlate of that computation. Specifically, area 7a contains neurons that code information in retina- and object-centered coordinate systems. The information in retina-centered coordinates emerges first, followed by the information in object-centered coordinates. We found that the strength and accuracy of these representations is correlated across trials. Finally, we found that retina-centered information could be used to predict subsequent object-centered signals, but not vice versa. These results are consistent with the hypothesis that either area 7a, or an area that precedes area 7a in the visual processing hierarchy, is performing the retina- to object-centered transformation

Behavior of solutions leaving the neighborhood of a saddle point for a nonlinear evolution equation

AbstractWe consider a nonlinear evolution equation on a Banach space X for which the origin is an equilibrium point having a saddle point structure. We give a condition guaranteeing that, for a certain neighborhood B0 of the origin and for any initial point belonging to B0 but not to the stable manifold, the corresponding solution not only leaves B0 but, after a certain time t∗, never returns

Problems associated with a generalized Hopf bifurcation

Issued as Final report, Project no. G-37-61

Statements on Introduced Bills and Joint Resolutions [The Congressional Record, Senate vol. 132, February 25, 1986, S1561-S1564]

Presenter: Robert F. Hurley, Administrative Assistant to Senator John H. Chafee. 5 pages