IJPAM: Volume 41, No. 4 (2007)

ON CHAOTIC MAPS IN BI-INFINITE SYMBOL SPACE

Inese Bula$^1$, Irita Rumbeniece$^2$
$^{1,2}$Department of Mathematics
University of Latvia
19, Rainis Blvd., Riga, LV-1586, LATVIA
$^1$e-mail: ibula@lanet.lv
$^2$e-mail: navita@one.lv


Abstract.This paper analyzes mappings in bi-infinite symbol space and proves that the maps are chaotic. It formulates sufficient conditions for non-chaotic mapping in a symbol space.

Received: September 16, 2007

AMS Subject Classification: 37B10

Key Words and Phrases: shift map, chaotic map, bi-infinite symbol space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 4