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Updated: Oct 3, 2025

Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond
Published on: June 24, 2015
Analysis of random synchronization under bilayer derivative and nonlinear delay networks of neuron nodes via fixed
1School of Computer Science and Cyberspace Science, Xiangtan University, Xiangtan, 411105, China; School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China.
Abstract:
In order to solve a challenging problem, i.e., fixed time synchronization of bilayer networks with derivative coupling and nonlinear delay coupling, fixed time polices are brought to achieve random synchronization for bilayer multiple weight hybrid coupled networks of neuron nodes. Being different from the synthesis method, which is often used to get theoretical conclusions from known conditions for synchronization of networks in general articles, analysis method is applied to seek parameters in fixed time controllers and sufficient conditions for synchronization from conclusions. After analysis, we obtain a relationship between coefficients of controllers and coefficients of a formula which is related to Lyapunov function. Moreover, we find that fixed settling time for synchronization is affected by the maximum eigenvalue of a matrix associated with network topology, parameters in the designed controllers and the size of networks. Finally, synchronous tests of bilayer networks of Hindmarsh-Rose (HR) neuron nodes are carried out to show the effectiveness of theoretical results.
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