具有漏泄时滞的高阶细胞神经网络的多周期性分析

分析了一类具有漏泄时滞的高阶细胞神经网络的多周期性和指数收敛性. 给出了保证此类网络的周期环在饱和区内局部指数收敛的充分条件. 所得结果表明, 一个n维网络可以有2^n个周期环存在于饱和区, 而且这些周期环是局部指数收敛的. 仿真实例进一步证明了结论的有效性.     

Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays

In this paper, we investigate the interesting multiperiodicity of discrete-time neural networks with excitatory self-connections and distributed delays. Due to self-excitation of neurons, we construct 2N close regions in state space for N-dimensional networks and attain the coexistence of 2N periodic sequence solutions in these close regions. Meanwhile we estimate exponential attracting domain for each periodic sequence solution and apply our results to discrete-time analogues of periodic or auton...