Irregular excitation patterns in reaction-diffusion systems due to perturbation by secondary pacemakers.

Irregular excitation patterns in reaction-diffusion systems due to perturbation by secondary pacemakers.
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由于次级起搏器的扰动导致反应扩散系统中的不规则激发模式

DOI:
10.1103/physreve.87.042904
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发表时间:
2013
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
P. Maass
P. Maass
中科院分区:
--
文献类型:
--
作者:
C. Lenk;M. Einax;P. Maass

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本文研究了FitzHugh-Nagumo模型中由次级起搏器对初级起搏器的干扰引起的时空兴奋模式。初级和次级起搏器分别产生频率为和的规则波。起搏器在空间上是分开的,但是从它们发出的波通过一个小桥彼此相遇。这导致了三种不同类型的I-III不规则的激励模式在分离域的theplane。I型和II型是由桥角处的两个起搏器发出的波的分离引起的。III型不规则性局限于系统的边界区域,并且起源于初级波部分穿透到空间中,其中来自次级起搏器的圆形波前占优势。对于这种类型,本地频率可以显著地降低。发现的三种不同类型的不规则程度量化的熵的局部频率分布和相位相干性的序参数。
Spatiotemporal excitation patterns in the FitzHugh-Nagumo model are studied, which result from the disturbance of a primary pacemaker by a secondary pacemaker. The primary and secondary pacemakers generate regular waves with frequenciesand, respectively. The pacemakers are spatially separated, but waves emanating from them encounter each other via a small bridge. This leads to three different types I–III of irregular excitation patterns in disjunct domains of theplane. Types I and II are caused by detachments of waves coming from the two pacemakers at corners of the bridge. Type III irregularities are confined to a boundary region of the system and originate from a partial penetration of the primary waves into a space, where circular wave fronts from the secondary pacemaker prevail. For this type, local frequencies can significantly exceedand. The degree of irregularity found for the three different types is quantified by the entropy of the local frequency distribution and an order parameter for phase coherence.
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