This article is cited in 1 paper

Rate of convergence in the “circle formation” problem

A. M. Leontovich


Abstract: We consider transformations obtained from local homogeneous rules of motion of polygons in the plane for which regular polygons are stationary (the so-called “circle formation” problem). These transformations are studied for initial states that are close to regular polygons. A method of determination of the rate of convergence to regular polygons is presented; on this basis we obtain estimates of the highest rate of convergence.
Figures: 1.
Bibliography: 4 titles.

UDC: 513.7

MSC: Primary 50B30, 92A05; Secondary 50B20

Received: 07.06.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 17:1, 89–118

Bibliographic databases:

• 
•