Effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh–Rose neurons
This work is devoted to investigate the effects of network structure on the synchronizability of nonlinearly coupled dynamical network of Hindmarsh–Rose neurons with a sigmoidal coupling function. We mainly focus on the networks that exhibit the small-world character or scale-free property. By check...
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| Published in | Physics letters. A Vol. 379; no. 40-41; pp. 2541 - 2548 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
23.10.2015
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| Abstract | This work is devoted to investigate the effects of network structure on the synchronizability of nonlinearly coupled dynamical network of Hindmarsh–Rose neurons with a sigmoidal coupling function. We mainly focus on the networks that exhibit the small-world character or scale-free property. By checking the first nonzero eigenvalue of the outer-coupling matrix, which is closely related to the synchronization threshold, the synchronizabilities of three specific network ensembles with prescribed network structures are compared. Interestingly, we find that networks with more connections will not necessarily result in better synchronizability.
•We investigate the effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh–Rose neurons.•We mainly consider the networks that exhibit the small-world character or scale-free property.•The synchronizability of three specific network ensembles with prescribed network structures are compared.•Networks with more connections will not necessarily result in better synchronizability. |
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| AbstractList | This work is devoted to investigate the effects of network structure on the synchronizability of nonlinearly coupled dynamical network of Hindmarsh–Rose neurons with a sigmoidal coupling function. We mainly focus on the networks that exhibit the small-world character or scale-free property. By checking the first nonzero eigenvalue of the outer-coupling matrix, which is closely related to the synchronization threshold, the synchronizabilities of three specific network ensembles with prescribed network structures are compared. Interestingly, we find that networks with more connections will not necessarily result in better synchronizability.
•We investigate the effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh–Rose neurons.•We mainly consider the networks that exhibit the small-world character or scale-free property.•The synchronizability of three specific network ensembles with prescribed network structures are compared.•Networks with more connections will not necessarily result in better synchronizability. |
| Author | Yang, Suh-Yuh Li, Chun-Hsien |
| Author_xml | – sequence: 1 givenname: Chun-Hsien surname: Li fullname: Li, Chun-Hsien email: chli@nknucc.nknu.edu.tw organization: Department of Mathematics, National Kaohsiung Normal University, Yanchao District, Kaohsiung City 82444, Taiwan – sequence: 2 givenname: Suh-Yuh surname: Yang fullname: Yang, Suh-Yuh email: syyang@math.ncu.edu.tw organization: Department of Mathematics, National Central University, Jhongli District, Taoyuan City 32001, Taiwan |
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| Keywords | Modular network Small-world network Hindmarsh–Rose neuron Coupled dynamical network Synchronization Scale-free network |
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