School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, PR China.
Int J Neural Syst. 2012 Feb;22(1):63-75. doi: 10.1142/S0129065712002980.
In this paper, a four-neuron delayed bidirectional associative memory (BAM) model with inertia is considered. Weak resonant double Hopf bifurcations are completely analyzed in the parameter space of the coupling weight and the coupling delay by the perturbation-incremental scheme (PIS). Numerical simulations are given for justifying the theoretical results. To the best of our knowledge, the paper is the first one to introduce inertia to a four-neuron delayed system and clarify the relationship between system parameters and dynamical behaviors.
本文研究了一个具有惯性的四神经元时滞双向联想记忆（BAM）模型。通过微扰增量法（PIS）在耦合权重和耦合延迟的参数空间中完全分析了弱共振双Hopf 分岔。给出了数值模拟结果以验证理论结果。据我们所知，本文首次将惯性引入四神经元时滞系统，并阐明了系统参数与动力学行为之间的关系。
