Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Guo Liu, Tianxiu Lu and Anwar Waseem
Pages: [1] - [15]
Received Date: March 02, 2020; Revised April 06, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122120
In this paper, 
be a compact metric space without isolated
points and 
be a sequence of continuous functions which
converges uniformly to a function f. Under the conditions of
that, 
is transitive for each integer 
and
where 
is defined in Section 2, some necessary and
sufficient conditions, or sufficient conditions for f to be
syndetically transitive, or exact are obtained.
These results extend and improve the preservation of some chaotic
properties under limiting functions.
topologically transitive, syndetically transitive, exact.
