Titi Livii Patavini Historiarum : libri quinque priores : ad optimas editiones castigati, paucis notis adjectis.

Mode of access: Internet.

Secretary's Report

Mode of access: Internet.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter West Point

General note: Title and date provided by Bettye Lane.

First class of women at West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter West Point

General note: Title and date provided by Bettye Lane.

First class of women to graduate from West Point

General note: Title and date provided by Bettye Lane.

First class of women to enter the military academy at West Point

General note: Title and date provided by Bettye Lane.

On the zeros of the Abelian integrals for a class of Liénard systems

A planar polynomial differential system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for the general nonlinear dynamical systems. In this paper, we investigated a class of Liénard systems of the form x'=y, y'=f(x)+y g(x) with deg f=5 and deg g=4. We proved that the related elliptic integrals of the Liénard systems have at most three zeros including multiple zeros, which implies that the number of limit cycles bifurcated from the periodic orbits of the unperturbed system is less than or equal to 3.