Attractor decomposition for closed binary relations on compact Hausdorff spaces

K. B. Igudesman

Chair of Geometry, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: One of the main methods for studying iterated function systems is the attractor decomposition by a code map. In this paper we obtain an analog of such a decomposition of attractors for closed binary relations on compact Hausdorff spaces.

Keywords: binary relation, attractor, iterated function system.

UDC: 517.538

Received: 06.02.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:4, 14–25

Bibliographic databases:

•