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Literature DB >> 21886675

Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays.

Weigang Sun, Rubin Wang, Weixiang Wang, Jianting Cao.

Abstract

This paper studies two kinds of synchronization between two discrete-time networks with time delays, including inner synchronization within each network and outer synchronization between two networks. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions for two discrete-time networks to be asymptotic stability are derived in terms of LMI. Finally numerical examples are given to illustrate the effectiveness of our derived results. The theoretical understanding provides insights into the dynamics of two or more neural networks with appropriate couplings.

Keywords: Complex networks; Inner synchronization; Outer synchronization

Year: 2010 PMID： 21886675 PMCID： PMC2918754 DOI： 10.1007/s11571-010-9118-9

Source DB: PubMed Journal: Cogn Neurodyn ISSN： 1871-4080 Impact factor: 5.082

23 in total

Analyzing inner and outer synchronization between two coupled discrete-time networks with time delays.

1. Emergence of scaling in random networks

2. Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex.

3. Synchronization between two coupled complex networks.

4. Network synchronization of groups.

5. Robust stability of genetic regulatory networks with distributed delay.

6. Dispersion and time delay effects in synchronized spike-burst networks.

7. Dynamics of globally delay-coupled neurons displaying subthreshold oscillations.

Review 8. Synchronous oscillations in neuronal systems: mechanisms and functions.

9. Graph theoretical analysis of complex networks in the brain.

10. Synchronized dynamics of cortical neurons with time-delay feedback.

1. Nonlinear optimal control for the synchronization of biological neurons under time-delays.

2. Synchronization study in ring-like and grid-like neuronal networks.

3. Oscillations and synchrony in a cortical neural network.

4. Stability switches and double Hopf bifurcation in a two-neural network system with multiple delays.

5. Collective behavior of large-scale neural networks with GPU acceleration.

Review 6. The structure and dynamics of multilayer networks.

7. Dynamics of a multiplex neural network with delayed couplings.