TY - GEN
T1 - Some new criteria of chaos induced by coupled-expanding maps
AU - Shi, Yuming
AU - Chen, Guanrong
PY - 2006
Y1 - 2006
N2 - This paper surveys some recent results about chaos induced by coupled-expanding maps. First, three typical definitions of chaos given by Li-Yorke, Devaney, and Wiggins, respectively, are introduced and compared. Then, several criteria of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces and in noncompact sets of complete metric spaces, respectively, are presented. Finally, some examples are provided for illustration.
AB - This paper surveys some recent results about chaos induced by coupled-expanding maps. First, three typical definitions of chaos given by Li-Yorke, Devaney, and Wiggins, respectively, are introduced and compared. Then, several criteria of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces and in noncompact sets of complete metric spaces, respectively, are presented. Finally, some examples are provided for illustration.
KW - Chaos theory
KW - Coupled-expanding map
KW - Discrete system
KW - Dynamic behavior
KW - Nonlinear system
UR - https://www.scopus.com/pages/publications/79960987103
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79960987103&origin=recordpage
U2 - 10.3182/20060628-3-fr-3903.00026
DO - 10.3182/20060628-3-fr-3903.00026
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9783902661098
VL - 1
SP - 136
EP - 141
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
T2 - 1st IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS'06
Y2 - 28 June 2006 through 30 June 2006
ER -