Journal
PHYSICAL REVIEW E
Volume 90, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.032807
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Funding
- National Natural Science Foundation of China [11105003]
- Natural Science Foundation of the Education Bureau of Shaanxi Province of China [2013JK0619]
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We investigate the emergence of self-sustained oscillations in excitable Erdos-Renyi 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.
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