期刊論文
| 學年 | 96 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2007-11-01 |
| 作品名稱 | Existence and Stability of Multibump Solutions of an Integral-Differential Equation |
| 作品名稱（其他語言） | |
| 著者 | 張慧京; Chan, Whei-ching C.; Lin, Su-Shing |
| 單位 | 淡江大學數學學系 |
| 出版者 | World Scientific Publishing |
| 著錄名稱、卷期、頁數 | International Journal of Bifurcation and Chaos 17(11), pp.4099-4115 |
| 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. |
| 關鍵字 | Center manifold;invariant foliation;asymptotic phase;multibump solution |
| 語言 | en |
| ISSN | 0218-1274 |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41243 ) |