TY - JOUR
T1 - Bursting transition in a linear self-exciting point process
AU - Onaga, Tomokatsu
AU - Shinomoto, Shigeru
PY - 2014/4/29
Y1 - 2014/4/29
N2 - Self-exciting point processes describe the manner in which every event facilitates the occurrence of succeeding events, as in the case of epidemics or human activity. By increasing excitability, the event occurrences start to exhibit bursts even in the absence of external stimuli. We revealed that the transition is uniquely determined by the average number of events added by a single event, 1-1/2≈0.2929, independently of the temporal excitation profile. We further extended the theory to multidimensional processes, to be able to incite or inhibit bursting in networks of agents by altering their connections.
AB - Self-exciting point processes describe the manner in which every event facilitates the occurrence of succeeding events, as in the case of epidemics or human activity. By increasing excitability, the event occurrences start to exhibit bursts even in the absence of external stimuli. We revealed that the transition is uniquely determined by the average number of events added by a single event, 1-1/2≈0.2929, independently of the temporal excitation profile. We further extended the theory to multidimensional processes, to be able to incite or inhibit bursting in networks of agents by altering their connections.
UR - http://www.scopus.com/inward/record.url?scp=84899721163&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevE.89.042817
DO - 10.1103/PhysRevE.89.042817
M3 - Article
C2 - 24827303
AN - SCOPUS:84899721163
VL - 89
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 4
M1 - 042817
ER -