Effects of external stimulations on transition behaviors in neural network with time-delay

• Published in: Physica A Vol. 536; p. 122517
• Main Authors: Huang, Shoufang, Zhang, Jiqian, Hu, Chin-Kun
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.12.2019
• Subjects: External stimulus; Firing patterns transitions; Neural networks; Synchronization transitions; Time delay; Synchronization transitions; Time delay; Neural networks; External stimulus; Firing patterns transitions
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.122517

We used the Hindmarsh–Rose(HR) model to study the effects of external stimulus on the time delay-induced firing behaviors and synchronization in neural networks with N coupled neurons. As time delay is changed, neural networks exhibit diversity of firing behaviors, we discussed the effect of intensity and frequency of external stimulus on these phenomena. Our results imply that both stimulus intensity and stimulus frequency have a non-trivial impact on firing patterns transitions (FPTs) behaviors and synchronization transitions in neural networks, including the change in the critical value required for time delay-induced FPT behavior and generating new modes of transition between synchronization and desynchronization. These findings provide new insight into the role of external stimulus in the firing activities of neural networks, and can help to better understand the firing phenomena in neural networks. •We use periodic signals to simulate external stimuli and study its influence on the neural system with time delay.•We find that external stimulus have impact on firing patterns transitions in neural network.•We find that synchronization transitions also affected by external stimulus.•We show the combined effect of external stimulus and time delays on these transitions.•We discuss the effect of coupling strength on these phenomena.