Bifurcation analysis of solitary and synchronized pulses and formation of reentrant waves in laterally coupled excitable fibers.
Bifurcation analysis of solitary and synchronized pulses and formation of reentrant waves in laterally coupled excitable fibers.
复制标题
孤立和同步脉冲的分岔分析以及横向耦合可兴奋纤维中折返波的形成。
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
K. Aihara
中科院分区：
文献类型：
--
作者：
T. Yanagita;H. Suetani;K. Aihara
我们研究了由两个相互耦合的可激发纤维组成的反应扩散系统的动力学。我们考虑的情况下，由于它们之间的参数失配的两个光纤的动力学性质是不相同的。利用空间一维FitzHugh-Nagumo方程作为单根可激发光纤的模型，发现同步脉冲在某些参数范围内是稳定的。此外，存在一个临界耦合强度，超过该强度，同步脉冲对于任何量的参数失配都是稳定的。我们显示的同步和孤立脉冲的分岔结构，并确定一个余维2尖点奇异的同步脉冲的不稳定的来源。当两光纤中稳定的孤立波脉冲通过增加耦合强度的鞍结分叉消失时，形成重入波。在直接数值模拟中观察到稳定重入波的参数区域与分叉分析结果一致。
We study the dynamics of a reaction-diffusion system comprising two mutually coupled excitable fibers. We consider a case in which the dynamical properties of the two fibers are nonidentical due to the parameter mismatch between them. By using the spatially one-dimensional FitzHugh-Nagumo equations as a model of a single excitable fiber, synchronized pulses are found to be stable in some parameter regime. Furthermore, there exists a critical coupling strength beyond which the synchronized pulses are stable for any amount of parameter mismatch. We show the bifurcation structures of the synchronized and solitary pulses and identify a codimension-2 cusp singularity as the source of the destabilization of synchronized pulses. When stable solitary pulses in both fibers disappear via a saddle-node bifurcation on increasing the coupling strength, a reentrant wave is formed. The parameter region, where a stable reentrant wave is observed in direct numerical simulation, is consistent with that obtained by bifurcation analysis.
合胞体组织的均质化。
影响因子：
--
作者：
Neu,JC;Krassowska,W
通讯作者：
Krassowska,W