Diffusive Interaction Leading to Dephasing of Coupled Neural Oscillators
Diffusive Interaction Leading to Dephasing of Coupled Neural Oscillators
复制标题
扩散相互作用导致耦合神经振荡器失相
DOI：
10.1142/s0218127497000662
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发表时间：
1997
影响因子：
2.2
通讯作者：
Y. Kuramoto
中科院分区：
文献类型：
--
作者：
S. Han;Christian Kurrer;Y. Kuramoto
人们通常认为，强扩散耦合的动力学变量之一是非常适合强加同步的振荡器。但最近的研究表明，弱扩散耦合，反直觉，可以导致耦合神经振荡器的退相。在本文中，我们研究如何扩散耦合振子成为退相。为此，我们研究了一个系统的耦合神经振子的极限环产生的同宿分支。当控制参数接近同宿分岔发生的临界值时，我们研究了扩散耦合的渐进行为。在这项研究中，我们表明，在极限环附近的相速度梯度是必不可少的，通过扩散相互作用产生退相。
It is usually believed that strong diffusive coupling in one of the dynamical variables is well-suited for imposing synchronization of oscillators. But it was recently shown that weak diffusive coupling, counter-intuitively, can lead to dephasing of coupled neural oscillators. In this paper, we investigate how diffusively coupled oscillators become dephasing. For this we study a system of coupled neural oscillators on a limit cycle generated through a homoclinic bifurcation. We examine the asymptotic behavior of diffusive coupling as the control parameter approaches the critical value for which the homoclinic bifurcation occurs. In this study, we show that the gradient of phase velocity near the limit cycle is essential in generating dephasing through diffusive interaction.