Far East Journal of Dynamical Systems
Volume 8, Issue 2, Pages 223 - 230
(December 2006)
|
|
MIXING AND CHAOS FOR SET-VALUED DISCRETE DYNAMICAL SYSTEMS
Wang Lidong (P. R. China), Huang Guifeng (P. R. China) and Liao Gongfu (P. R. China)
|
and the continuous map
of
into itself induced by f,
where X is a metric space and
is the space that consists of all
nonempty compact subsets of X and that
is endowed with the Hausdorff metric induced by the metric d
of X. In this paper we investigate the
relation between f and
in some dynamical properties, such
as weak-mixing, mixing and chaos.