Перiодичнi функцiї на замкнених траєкторiях з групою симетрiй L44РС

Abstract

The multitude of periodic functions, which is determined by the motion of a point on closed symmetric flat curves of the one-parametric family is constructed. These functions are obtained by the calculation of Cartesian coordinates of the point as functions of the arc length of a line. The 2π-periodic functions which differ from classical ones by the sign of curvature at every point of their existence are discovered.