Bifurcation analysis and existence of periodic solutions in a simple neural network with delays |
| |
Authors: | Wei J J Velarde M G |
| |
Institution: | Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, n. 1, 28040 Madrid, Spain. |
| |
Abstract: | Results are provided here about the stability and bifurcation of periodic solutions for a (neural) network with n elements where delays between adjacent units and external inputs are included. The particular cases n = 2 and n = 3 are discussed in details, to explicitly illustrate the role of the delays in the corresponding bifurcation sets and the stability properties, like a Hopf bifurcation, a pitchfork bifurcation, and a Bogdanov-Takens bifurcation. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|