TY - JOUR
T1 - Synchronization in linearly coupled dynamical networks with distributed time delays
AU - Li, Chun Hsien
AU - Yang, Suh Yuh
N1 - Funding Information:
∗This work was supported in part by the National Science Council of Taiwan. ‡Author for correspondence
PY - 2008/7
Y1 - 2008/7
N2 - In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.
AB - In this paper, we investigate the global exponential synchronization of linearly coupled dynamical networks with time delays. The time delay considered is of the distributed type and the outer-coupling matrix is not assumed to be symmetric. Employing the Lyapunov functional and matrix inequality techniques, we propose a sufficient condition for the occurrence of global exponential synchronization. Two illustrative examples, the coupled Chua's circuits and the coupled Hindmarsh-Rose neurons, and their numerical simulation results are presented to demonstrate the theoretical analyses.
KW - Coupled Chua's circuits
KW - Coupled Hindmarsh-Rose neurons
KW - Distributed time delays
KW - Exponential synchronization
KW - Linearly coupled dynamical networks
UR - http://www.scopus.com/inward/record.url?scp=52149105194&partnerID=8YFLogxK
U2 - 10.1142/S0218127408021531
DO - 10.1142/S0218127408021531
M3 - 期刊論文
AN - SCOPUS:52149105194
SN - 0218-1274
VL - 18
SP - 2039
EP - 2047
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 7
ER -