TY - JOUR
T1 - Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
AU - Li, Chun Hsien
AU - Yang, Suh Yuh
PY - 2009/8/15
Y1 - 2009/8/15
N2 - In this paper, we investigate the existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with connection time delays for both discrete and distributed cases. By combining the Lyapunov functional method with the contraction mapping principle, we establish several criteria for the existence and global exponential stability of periodic solutions. More interestingly, all the criteria are independent of time delays as well as the delay types, and do not include one another. Several examples with numerical simulations are given to demonstrate the results.
AB - In this paper, we investigate the existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with connection time delays for both discrete and distributed cases. By combining the Lyapunov functional method with the contraction mapping principle, we establish several criteria for the existence and global exponential stability of periodic solutions. More interestingly, all the criteria are independent of time delays as well as the delay types, and do not include one another. Several examples with numerical simulations are given to demonstrate the results.
UR - http://www.scopus.com/inward/record.url?scp=67249123736&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2008.05.005
DO - 10.1016/j.chaos.2008.05.005
M3 - 期刊論文
AN - SCOPUS:67249123736
SN - 0960-0779
VL - 41
SP - 1235
EP - 1244
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -