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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 24, Issue 1-2 (March + June), Pages 53 - 67 (June 2014)

CHAOTIC CONDITION OF SUBSHIFTS ON SYMBOLIC DYNAMICAL SYSTEMS

Shinzo Kawamura, Hajime Takaegara and Atsushi Uchiyama

Abstract:

Let be the compact space consisting of all infinite sequences of integers between 1, and the backward shift on and A an matrix such that all entries belong to Then we have canonically a subcompact space of and a subshift on We show a necessary and sufficient condition for the dynamical system to be chaotic.