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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.
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 synch ronization, common_stationary states and two different patterns in two systems can be observed. There are more kinds of patterns appearing in transitional reg ions. We also discuss the dynamics of two_points and two FHN reaction_diffusion system with delayed coupling. Quantitative interpretations are given.