政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/121203

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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/121203

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題名:	Global synchronization and asymptotic phases for a ring of identical cells with delayed coupling
作者:	Shih, Chih-Wen 曾睿彬 Tseng, Jui-Pin
貢獻者:	應數系
日期:	2011-07
上傳時間:	2018-12-04 15:43:18 (UTC+8)
摘要:	We consider a neural network which consists of a ring of identical neurons coupled with their nearest neighbors and is subject to self-feedback delay and transmission delay. We present an iteration scheme to analyze the synchronization and asymptotic phases for the system. Delay-independent, delay-dependent, and scale-dependent criteria are formulated for the global synchronization and global convergence. Under this setting, the possible asymptotic dynamics include convergence to single equilibrium, multiple equilibria, and synchronous oscillation. The study aims at elucidating the effects from the scale of network, self-decay, self-feedback strength, coupling strength, and delay magnitudes upon synchrony, convergent dynamics, and oscillation of the network. The disparity between the contents of synchrony induced by distinct factors is investigated. Two different types of multistable dynamics are distinguished. Moreover, oscillation and desynchronization induced by delays are addressed. We answer two conjectures in the literature.
關聯:	SIAM Journal on Mathematical Analysis, Vol.43, No.4, pp.1667-1697
資料類型:	article
DOI 連結:	https://doi.org/10.1137/10080885X
DOI:	10.1137/10080885X
顯示於類別:	[應用數學系] 期刊論文

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