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| Title | Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays |
| Creator | 曾睿彬 Tseng, Jui-Pin |
| Contributor | 應數系 |
| Date | 2013-10 |
| Date Issued | 9-Feb-2015 16:44:33 (UTC+8) |
| Summary | This work presents an effective approach to the study of the global asymptotic dynamics of general coupled systems. Under the developed framework, the problem of establishing global synchronization or global convergence reduces to solving a corresponding system of linear equations. We illustrate this approach with a class of neural networks that consist of a pair of sub-networks under various types of nonlinear and delayed couplings. We study both the synchronization and the asymptotic synchronous phases of the dynamics, including global convergence to zero, global convergence to multiple synchronous equilibria, and global synchronization with nontrivial synchronous periodic solutions. Our investigation also provides theoretical support to some numerical findings, and improves or extend some results in the literature. |
| Relation | Discrete and Continuous Dynamical Systems - Series A, 33(10), 4693-4729 |
| Type | article |
| DOI | http://dx.doi.org/10.3934/dcds.2013.33.4693 |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 曾睿彬 | zh_TW |
| dc.creator (作者) | Tseng, Jui-Pin | |
| dc.date (日期) | 2013-10 | |
| dc.date.accessioned | 9-Feb-2015 16:44:33 (UTC+8) | - |
| dc.date.available | 9-Feb-2015 16:44:33 (UTC+8) | - |
| dc.date.issued (上傳時間) | 9-Feb-2015 16:44:33 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/73405 | - |
| dc.description.abstract (摘要) | This work presents an effective approach to the study of the global asymptotic dynamics of general coupled systems. Under the developed framework, the problem of establishing global synchronization or global convergence reduces to solving a corresponding system of linear equations. We illustrate this approach with a class of neural networks that consist of a pair of sub-networks under various types of nonlinear and delayed couplings. We study both the synchronization and the asymptotic synchronous phases of the dynamics, including global convergence to zero, global convergence to multiple synchronous equilibria, and global synchronization with nontrivial synchronous periodic solutions. Our investigation also provides theoretical support to some numerical findings, and improves or extend some results in the literature. | |
| dc.format.extent | 133 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Discrete and Continuous Dynamical Systems - Series A, 33(10), 4693-4729 | |
| dc.title (題名) | Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays | |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.3934/dcds.2013.33.4693 | en_US |
| dc.doi.uri (DOI) | http://dx.doi.org/10.3934/dcds.2013.33.4693 | en_US |