Pinning-controlled synchronization of hybrid-coupled complex dynamical networks with mixed time-delays

2011 ◽  
Vol 22 (6) ◽  
pp. 690-706 ◽  
Author(s):  
Qiang Song ◽  
Jinde Cao ◽  
Fang Liu
Keyword(s):  
Time Delays ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Mixed Time Delays

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.

scholarly journals Topology Detection for Output-Coupling Weighted Complex Dynamical Networks with Coupling and Transmission Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Xinwei Wang ◽  
Guo-Ping Jiang ◽  
Chunxia Fan ◽  
Xu Wu
Keyword(s):  
Dynamical System ◽  
Numerical Simulations ◽  
Invariance Principle ◽  
Time Delays ◽  
Complex Dynamical Networks ◽  
Output Coupling ◽  
Complex Dynamical Network ◽  
Dynamical Networks ◽  
Transmission Delays ◽  
Response System

Topology detection for output-coupling weighted complex dynamical networks with two types of time delays is investigated in this paper. Different from existing literatures, coupling delay and transmission delay are simultaneously taken into account in the output-coupling network. Based on the idea of the state observer, we build the drive-response system and apply LaSalle’s invariance principle to the error dynamical system of the drive-response system. Several convergent criteria are deduced in the form of algebraic inequalities. Some numerical simulations for the complex dynamical network, with node dynamics being chaotic, are given to verify the effectiveness of the proposed scheme.

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