Synchronization of Systems with Time-Delayed Coupling

10.1142/8990 ◽  
2021 ◽  
Author(s):  
Erik Steur ◽  
Toshiki Oguchi ◽  
Henk Nijmeijer
Keyword(s):  
Delayed Coupling

Global Synchronization and Asymptotic Phases for a Ring of Identical Cells with Delayed Coupling

2011 ◽  
Vol 43 (4) ◽  
pp. 1667-1697 ◽  
Author(s):  
Chih-Wen Shih ◽  
Jui-Pin Tseng
Keyword(s):  
Global Synchronization ◽  
Delayed Coupling

scholarly journals Delayed coupling of logistic maps

2001 ◽  
Vol 64 (3) ◽  
Author(s):  
C. Masoller ◽  
Hugo L. D. de S. Cavalcante ◽  
J. R. Rios Leite
Keyword(s):  
Delayed Coupling

scholarly journals Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Nikola Burić ◽  
Dragana Todorović
Keyword(s):  
Delayed Coupling ◽  
Excitable Systems

Type I vs. type II excitable systems with delayed coupling

2005 ◽  
Vol 23 (4) ◽  
pp. 1221-1233 ◽  
Author(s):  
Nikola Burić ◽  
Ines Grozdanović ◽  
Nebojša Vasović
Keyword(s):  
Type I ◽  
Type Ii ◽  
Delayed Coupling ◽  
Excitable Systems

scholarly journals Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ze Tang ◽  
Jianwen Feng
Keyword(s):  
Sufficient Conditions ◽  
Pinning Control ◽  
Cluster Synchronization ◽  
Linear Matrix ◽  
Control Cost ◽  
Synchronization Problem ◽  
Delayed Coupling ◽  
Control Scheme ◽  
Successful Control ◽  
Synchronization Pattern

We focus on the cluster synchronization problem for a kind of general networks with nondelayed and delayed coupling. Based on the pinning control scheme, a small fraction of the nodes in each cluster are pinned for successful control, and the states of the whole dynamical networks can be globally forced to the objective cluster states. Sufficient conditions are derived to guarantee the realization of the cluster synchronization pattern for all initial values by means of the Lyapunov stability theorem and linear matrix inequalities (LMIs). By using the adaptive update law, relative smaller control gains are obtained, and hence the control cost can be substantially lower. Numerical simulations are also exploited to demonstrate the effectiveness and validity of the main result.

scholarly journals Finite-Time Synchronization of Complex Dynamical Networks with Nondelayed and Delayed Coupling by Continuous Function Controller

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Xie Chengrong ◽  
Xing Yu ◽  
Xia Qing ◽  
Dongbing Tong ◽  
Yuhua Xu
Keyword(s):  
Continuous Function ◽  
Numerical Simulations ◽  
Finite Time ◽  
Time Synchronization ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Delayed Coupling ◽  
Special Case

This paper investigates the finite-time synchronization of complex dynamical networks with nondelayed and delayed coupling. By designing a simple continuous function controller, sufficient criteria for finite-time synchronization of dynamical networks with nondelayed and delayed coupling are obtained. As a special case, the continuous function controller designed in this paper may be the simplest and easy to implement for the finite-time synchronization of dynamical networks without delay. Finally, numerical simulations are given to verify the effectiveness of the conclusions presented in this paper.

Impulsive synchronization of complex networks with non-delayed and delayed coupling

2009 ◽  
Vol 373 (46) ◽  
pp. 4255-4259 ◽  
Author(s):  
Song Zheng ◽  
Gaogao Dong ◽  
Qinsheng Bi
Keyword(s):  
Complex Networks ◽  
Impulsive Synchronization ◽  
Delayed Coupling

scholarly journals Traveling echo waves in an array of excitable elements with time-delayed coupling

2011 ◽  
Vol 83 (3) ◽  
Author(s):  
Oriol Vallès-Codina ◽  
Ronny Möbius ◽  
Sten Rüdiger ◽  
Lutz Schimansky-Geier
Keyword(s):  
Delayed Coupling
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