Bursting transition in a linear self-exciting point process

Tomokatsu Onaga, Shigeru Shinomoto

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number042817
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number4
DOIs
Publication statusPublished - 2014 Apr 29
Externally publishedYes

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Medicine(all)

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