The BG News November 3, 1983

The BGSU campus student newspaper November 3, 1983. Volume 66 - Issue 39https://scholarworks.bgsu.edu/bg-news/5184/thumbnail.jp

The Hamiltonian Structure of the Second Painleve Hierarchy

In this paper we study the Hamiltonian structure of the second Painleve hierarchy, an infinite sequence of nonlinear ordinary differential equations containing PII as its simplest equation. The n-th element of the hierarchy is a non linear ODE of order 2n in the independent variable $z$ depending on n parameters denoted by ${t}_1,...,{t}_{n-1}$ and $\alpha_n$. We introduce new canonical coordinates and obtain Hamiltonians for the $z$ and $t_1,...,t_{n-1}$ evolutions. We give explicit formulae for these Hamiltonians showing that they are polynomials in our canonical coordinates

Description of a papillate tactile organ in the Typhlopidae

In a unique specimen of Rhinotyphlops, the rostrum supports approximately 250 elongate, flexible papillae. Each papilla consists of a tubular shaft and an expanded hair-like bulb weakly embedded in the epidermis. Immediately deep to the base of each papilla is a small cluster of neuronal cells and a vascular supply. Although this Rhinotyphlops is presumed to be fossorial, the morphology of these soft papilla suggest they function as mechanoreceptors