Bifurcation analysis on a discrete-time tabu learning model

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:220

Article

Xiao, Min^1,2  Cao, Jinde¹ 

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Nanjing Xiaozhuang Coll, Dept Math, Nanjing 210017, Peoples R China

关键词: tabu learning;    discrete-time;    neural networks;    stability;    Pichfork/Flip/Neimark-Sacker bifurcation;   

DOI  :  10.1016/j.cam.2007.09.018

来源: Elsevier

【 摘 要 】

In this paper, we consider a discrete-time tabu learning single neuron model. After investigating the stability of the given system. we demonstrate that Pichfork bifurcation, Flip bifurcation and Neimark-Sacker bifurcation will occur when the bifurcation parameter exceed a critical value, respectively. A formula is given for determining the direction and stability of Neimark-Sacker bifurcation by applying the normal form theory and the center manifold theorem. Some numerical simulations for justifying the theoretical results are also provided. (c) 2007 Elsevier B. V. All rights reserved.

【 授权许可】

Free