Bifurcation and scaling at the aging transition boundary in globally coupled excitable and oscillatory units
Bifurcation and scaling at the aging transition boundary in globally coupled excitable and oscillatory units
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全局耦合的可兴奋和振荡单元中老化过渡边界的分岔和缩放
DOI：
10.1103/physreve.93.052226
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发表时间：
2016
影响因子：
2.4
通讯作者：
Kazuho Nishio
中科院分区：
文献类型：
--
作者：
Hiroaki Daido;Kazuho Nishio
在之前的论文[Phys. Rev. E 88，052907（2013）PLEEE 81539 -375510.1103/PhysRevE.88.052907]之后，我们详细研究了全局和扩散耦合的可激发和振荡单元中的老化转变机制。这里使用了在早期工作中采用的三个模型中的两个，每个模型由大量的单元组成，其分叉参数形成均匀分布。控制参数为耦合强度和分岔参数的平均值。目前的工作主要是致力于一个区域的相图附近的老化过渡边界的耦合强度大于其临界值的双稳态和滞后的发病。从理论上和数值上研究了各系统在老化过渡边界处的分岔结构。此外，我们表明，临界标度律的序参量和在以前的文件是不同的，这取决于该区域的耦合强度被选择。
Following a previous paper [Phys. Rev. E 88, 052907 (2013)PLEEE81539-375510.1103/PhysRevE.88.052907], we study in detail the mechanism of aging transition in globally and diffusively coupled excitable and oscillatory units. Here two of the three models taken up in the earlier work are used, each composed of a large number of units with their bifurcation parameters forming a uniform distribution. The control parameters are the coupling strength and the average of the bifurcation parameters. The present work is mostly devoted to a region of the phase diagram near the aging transition boundary with the coupling strength greater than its critical value for the onset of bistability and hysteresis. The bifurcation structure of each system at the aging transition boundary is investigated theoretically as well as numerically. Moreover, we show that critical scaling laws of order parametersandused in the previous paper are different depending on which region of the coupling strength to be chosen.