Existence and Stability of Multibump Solutions of an Integral-Differential Equation

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 期刊論文 > Item 987654321/41243

請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41243

題名:	Existence and Stability of Multibump Solutions of an Integral-Differential Equation
作者:	張慧京;Chan, Whei-ching C.;Lin, Su-Shing
貢獻者:	淡江大學數學學系
關鍵詞:	Center manifold;invariant foliation;asymptotic phase;multibump solution
日期:	2007-11-01
上傳時間:	2010-01-28 07:03:22 (UTC+8)
出版者:	World Scientific Publishing
摘要:	We consider the existence and stability of multibump solutions of a class of integral-differential equations modeling a single layer of homogeneous neural network with both excitatory and inhibitory neurons. The existence results are obtained by combining several shifts of a one-bump solution. Dynamical properties are obtained by considering the equation as an infinite-dimensional dynamical system and the spectrum of multibump solutions in terms of the weight functions. The center manifold theory and its foliation are used to show exponential stability with asymptotic phase for multibump solutions. Numerical results for some possible bifurcation phenomena are also presented.
關聯:	International Journal of Bifurcation and Chaos 17(11), pp.4099-4115
DOI:	10.1142/S0218127407019883
顯示於類別:	[應用數學與數據科學學系] 期刊論文

文件中的檔案:

檔案	描述	大小	格式	瀏覽次數
		0Kb	Unknown	301	檢視/開啟
index.html		0Kb	HTML	74	檢視/開啟

在機構典藏中所有的資料項目都受到原著作權保護.

TAIR相關文章