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| Title | Absolute stability and synchronization in second-order neural fields with conduction delays |
| Creator | 曾睿彬 Tseng, Jui-Pin;Shih, Chih-Wen;Wu, Chang-Hong |
| Contributor | 應數系 |
| Key Words | neural field; absolute stability; synchronization; second-order model |
| Date | 2023-06 |
| Date Issued | 29-Jan-2024 09:45:21 (UTC+8) |
| Summary | We consider a class of neural field models represented by a second-order nonlinear system of integro-differential equations with space-dependent delays. Such a system models interaction of N populations of neurons, each with a continuum description. We justify the existence and uniqueness of solution for the system in a suitable function space. Global existence and boundedness of solutions for the system are confirmed. Two methodologies, the comparison argument and sequential contracting, are developed to establish sufficient conditions for absolute stability and synchronization among different populations of the system. Finally, we present some numerical examples to demonstrate the theoretical results. |
| Relation | SIAM Journal on Applied Dynamical Systems, Vol.22, No.2, pp.878-917 |
| Type | article |
| DOI | https://doi.org/10.1137/21M1441109 |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 曾睿彬 | |
| dc.creator (作者) | Tseng, Jui-Pin;Shih, Chih-Wen;Wu, Chang-Hong | |
| dc.date (日期) | 2023-06 | |
| dc.date.accessioned | 29-Jan-2024 09:45:21 (UTC+8) | - |
| dc.date.available | 29-Jan-2024 09:45:21 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Jan-2024 09:45:21 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/149446 | - |
| dc.description.abstract (摘要) | We consider a class of neural field models represented by a second-order nonlinear system of integro-differential equations with space-dependent delays. Such a system models interaction of N populations of neurons, each with a continuum description. We justify the existence and uniqueness of solution for the system in a suitable function space. Global existence and boundedness of solutions for the system are confirmed. Two methodologies, the comparison argument and sequential contracting, are developed to establish sufficient conditions for absolute stability and synchronization among different populations of the system. Finally, we present some numerical examples to demonstrate the theoretical results. | |
| dc.format.extent | 98 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | SIAM Journal on Applied Dynamical Systems, Vol.22, No.2, pp.878-917 | |
| dc.subject (關鍵詞) | neural field; absolute stability; synchronization; second-order model | |
| dc.title (題名) | Absolute stability and synchronization in second-order neural fields with conduction delays | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1137/21M1441109 | |
| dc.doi.uri (DOI) | https://doi.org/10.1137/21M1441109 |