title: Emergence of self-sustained oscillations in excitable Erdös-Rényi random networks.
abstract: 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.
authors.affiliation: Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China.
authors.forename: Yu
authors.initials: Y
authors.lastname: Qian
mesh_terms: D008962:Models, Theoretical; D010507:Periodicity; D011336:Probability