TY - JOUR
T1 - Chaos of discrete dynamical systems in complete metric spaces
AU - Shi, Yuming
AU - Chen, Guanrong
PY - 2004/11
Y1 - 2004/11
N2 - This paper is concerned with chaos of discrete dynamical systems in complete metric spaces. Discrete dynamical systems governed by continuous maps in general complete metric spaces are first discussed, and two criteria of chaos are then established. As a special case, two corresponding criteria of chaos for discrete dynamical systems in compact subsets of metric spaces are obtained. These results have extended and improved the existing relevant results of chaos in finite-dimensional Euclidean spaces. © 2004 Elsevier Ltd. All rights reserved.
AB - This paper is concerned with chaos of discrete dynamical systems in complete metric spaces. Discrete dynamical systems governed by continuous maps in general complete metric spaces are first discussed, and two criteria of chaos are then established. As a special case, two corresponding criteria of chaos for discrete dynamical systems in compact subsets of metric spaces are obtained. These results have extended and improved the existing relevant results of chaos in finite-dimensional Euclidean spaces. © 2004 Elsevier Ltd. All rights reserved.
UR - http://www.scopus.com/inward/record.url?scp=2042503723&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-2042503723&origin=recordpage
U2 - 10.1016/j.chaos.2004.02.015
DO - 10.1016/j.chaos.2004.02.015
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 22
SP - 555
EP - 571
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -