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題名 Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays
作者 曾睿彬
Tseng, Jui-Pin
貢獻者 應數系
日期 2013-10
上傳時間 9-Feb-2015 16:44:33 (UTC+8)
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.
關聯 Discrete and Continuous Dynamical Systems - Series A, 33(10), 4693-4729
資料類型 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) articleen
dc.identifier.doi (DOI) 10.3934/dcds.2013.33.4693en_US
dc.doi.uri (DOI) http://dx.doi.org/10.3934/dcds.2013.33.4693 en_US