Qian Yu
Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):032807. doi: 10.1103/PhysRevE.90.032807. Epub 2014 Sep 17.
We investigate the emergence of self-sustained oscillations in excitable Erdös-Rényi random networks (EERRNs). Interestingly, periodical self-sustained oscillations have been found at a moderate connection probability P. For smaller or larger P, the system evolves into a homogeneous rest state with distinct mechanisms. One-dimensional Winfree loops are discovered as the sources to maintain the oscillations. Moreover, by analyzing these oscillation sources, we propose two criteria to explain the spatiotemporal dynamics obtained in EERRNs. Finally, the two critical connection probabilities for which self-sustained oscillations can emerge are approximately predicted based on these two criteria.
我们研究了可激发的厄多斯 - 雷尼随机网络（EERRNs）中自持振荡的出现。有趣的是，在中等连接概率P下发现了周期性的自持振荡。对于较小或较大的P，系统通过不同机制演化为均匀的静止状态。一维温弗里环被发现是维持振荡的源。此外，通过分析这些振荡源，我们提出了两个准则来解释在EERRNs中获得的时空动力学。最后，基于这两个准则近似预测了自持振荡能够出现的两个临界连接概率。
