【摘要】 考虑了两个延迟耦合FitzHugh Nagumo系统 ,首先分析两点延迟耦合的动力学行为 ,给出静息态的局部稳定和不稳定的参数区 .螺旋波同步、共同的静息态以及两个系统不同的状态出现在静息态稳定参数区内 ,在这些态的过渡耦合强度参数区内会出现很多演化图样 ,它们反映了螺旋波波头、波体和波尾的不同 ,也反映空间尺度对螺旋波的影响 .讨论了静息态局部不稳定参数区内 ,两点延迟耦合的动力学行为和相应参数下两个延迟耦合反应 扩散系统的斑图动力学行为 .更多还原

【Abstract】 In this paper, we consider two FitzHugh-Nagumo (FHN) systems with delayed coupling. Firstly, dynamics of two-points with delayed coupling is analyzed. We give parameter regions about the stability of the stationary point. Spiral wave synchronization, common-stationary states and two different patterns in two systems can be observed. There are more kinds of patterns appearing in transitional regions. We also discuss the dynamics of two-points and two FHN reaction-diffusion system with delayed coupling. Quantitative interpretations are given.更多还原