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物理学报. 2005, 54(4): 1510-1512.
doi: 10.7498/aps.54.1510.
两个延迟耦合FitzHugh-Nagumo系统的动力学行为
- 收稿日期: 2004-07-12
- 修回日期: 2004-11-25
- 刊出日期: 2005-02-05
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.
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关键词:
- FitzHugh-Nagumo系统 /
- 螺旋波 /
- 同步
English Abstract
Dynamics of two FitzHugh-Nagumo systems with delayed coupling
- Received Date:
12 July 2004
- Accepted Date:
25 November 2004
- Published Online:
05 February 2005
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.
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Keywords:
- FitzHugh_Nagumo systems /
- spiral wave /
- synchronization
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