期刊論文
| 學年 | 98 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2010-06-01 |
| 作品名稱 | Stability and Bifurcation of a Two-Neuron Network with Distributed Time Delays |
| 作品名稱（其他語言） | |
| 著者 | Hsu, Cheng-Hsiung; Yang, Suh-Yuh; Yang, Ting-Hui; Yang, Tzi-Sheng |
| 單位 | 淡江大學數學學系 |
| 出版者 | London: Elsevier Ltd |
| 著錄名稱、卷期、頁數 | Nonlinear Analysis: Real World Applications 11(3), pp.1472-1490 |
| 摘要 | In this paper we study the stability and bifurcation of the trivial solution of a two-neuron network model with distributed time delays. This model consists of two identical neurons, each possessing nonlinear instantaneous self-feedback and connected to the other neuron with continuously distributed time delays. We first examine the local asymptotic stability of the trivial solution by studying the roots of the corresponding characteristic equation, and then describe the stability and instability regions in the parameter space consisting of the self-feedback strength and the product of the connection strengths between the neurons. It is further shown that the trivial solution may lose its stability via a certain type of bifurcation such as a Hopf bifurcation or a pitchfork bifurcation. In addition, the criticality of Hopf bifurcation is investigated by means of the normal form theory. We also provide numerical evidence to support our theoretical analyses. |
| 關鍵字 | Neural network; Distributed time delay; Characteristic equation; Hopf bifurcation; Pitchfork bifurcation; Normal form |
| 語言 | en |
| ISSN | 1468-1218 |
| 期刊性質 | 國外 |
| 收錄於 | EI SCI |
| 產學合作 | |
| 通訊作者 | Yang, Suh-Yuh |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58792 ) |