TY - GEN
T1 - Robust structural synchronization in dynamical complex networks
AU - Čelikovský, Sergej
AU - Lynnyk, Volodymyr
AU - Chen, Guanrong
PY - 2007
Y1 - 2007
N2 - The aim of this paper is to study synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections are created with transmitted synchronizing signals. Focus is on the robustness of the network synchronization with respect to its connectional structure. This robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional connections), and numerically for various cases with many nodes. It is shown that unless a certain minimal coherent connectional structure is present in network, the synchronization is always preserved. While for a minimal connectional configuration where the synchronization is global, the resulting synchronization is only semi-global when some redundant connections are added. Copyright © 2007 IFAC.
AB - The aim of this paper is to study synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections are created with transmitted synchronizing signals. Focus is on the robustness of the network synchronization with respect to its connectional structure. This robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional connections), and numerically for various cases with many nodes. It is shown that unless a certain minimal coherent connectional structure is present in network, the synchronization is always preserved. While for a minimal connectional configuration where the synchronization is global, the resulting synchronization is only semi-global when some redundant connections are added. Copyright © 2007 IFAC.
KW - Chaos synchronization
KW - Complex network
KW - Generalized Lorenz system
KW - Robustness
UR - https://www.scopus.com/pages/publications/79960951487
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79960951487&origin=recordpage
U2 - 10.3182/20070822-3-za-2920.00044
DO - 10.3182/20070822-3-za-2920.00044
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9783902661289
VL - 7
SP - 264
EP - 269
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
T2 - 7th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2007
Y2 - 22 August 2007 through 24 August 2007
ER -