scholarly journals Impulsive Consensus for Complex Dynamical Networks with Nonidentical Nodes and Coupling Time-Delays

2011 ◽  
Vol 49 (2) ◽  
pp. 315-338 ◽  
Author(s):  
Bin Liu ◽  
David J. Hill
Keyword(s):  
Time Delays ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Coupling Time ◽  
Nonidentical Nodes

SYNCHRONIZATION INSIDE COMPLEX DYNAMICAL NETWORKS WITH DOUBLE TIME-DELAYS AND NONLINEAR INNER-COUPLING FUNCTIONS

2011 ◽  
Vol 25 (11) ◽  
pp. 1531-1541 ◽  
Author(s):  
WEIGANG SUN ◽  
YUEYING YANG ◽  
CHANGPIN LI ◽  
ZENGRONG LIU
Keyword(s):  
Vector Field ◽  
Complex Networks ◽  
Time Delays ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Numerical Examples ◽  
Theoretical Criterion ◽  
Double Time

In this article, synchronization inside complex networks with double time-delays and nonlinear inner-coupling functions are studied. Here double time-delays mean that each node vector field and every coupling node have retard time, while nonlinear inner-coupling functions refer to all the components of every node that are nonlinearly coupled. The theoretical criterion respecting synchronization is derived. And illustrative numerical examples are also given.

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