Delay-Induced Hopf Bifurcation and Periodic Solution in a BAM Network with Two Delays

摘要: The time delays in neural networks come from the transformation of information processing between neurons. To consider delay-induced dynamics networks, four neurons are coupled to model a called bidirectional associative memory network. If is distinct two direction, then occurs model. simple but efficient method first introduced and Hopf bifurcation investigated periodic approximate solution derived obtained analytically. It can be seen that theoretical prediction good agreement with result numerical simulation, which shows provided valid. results show also has higher accuracy than center manifold reduction (CMR) norm form theory.