Spatiotemporal coding in fitzhugh - nagumo neural network with time delay 神经网络的时空编码
2.
The result shows that the upper bounded estimate is independent of the number of spatially partition . similar results are obtained for spatial - temporal discretized fitzhugh - nagumo equations and generalized coupled fitzhugh - nagumo equations 万程解的渐近行为，给出了其整体吸引子的存在性和ha朋d扯咐维数估计；最后对离散耦合fitzhugll n 。
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It is found that the existence of a maximum in the snr is the identifying characteristic of the sr phenomenon . " the main - unexpected - - novelty is the dependence of the effect on initial condition . " ( report of the phys . rev . e referee ) the coherence resonance ( cr ) and the stochastic resonance ( sr ) phenomenon in a globally coupled fitzhugh - nagumo neurons model are studied Ohyreve审稿人语）在对fhn神经模型的共振现象研究中，我们考虑一个存在耦合的多个神经细胞相互作用的神经网络，利用平均场理论和概率跃迁理论，得到了神经系统在无信号和有周期性信号的两种倩况下的静息电位。
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This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations , and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions . for delayed reaction diffusion systems , the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided , firstly ; the monotone iteration scheme , together with upper - lower solution technique , is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients . secondly , schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm , which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity 对于时滞反应扩散方程，我们先利用吴建宏和邹幸福[ j . dynam . diff . eqns2001 ( 3 ) ]中的主要定理来研究时滞竞争扩散lotka - volterra系统波前解的存在性，给出了这个定理在非线性项满足弱拟单调条件( qm * )时在系统情况中的应用；并利用单调迭代方法和上、下解技术，对于具有部分零扩散系数的时滞反应扩散方程建立波前解的存在性定理，对于具有部分零扩散系数的时滞反应扩散方程建立波前解的存在性定理。
