Scale-free patterns at a saddle-node bifurcation in a stochastic system

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dc.creatorIwata, Mami
dc.creatorSasa, Shin-ichi
dc.date2008-06-06
dc.date2008-11-15
dc.date.accessioned2026-07-07T10:18:09Z
dc.date.available2026-07-07T10:18:09Z
dc.descriptionWe demonstrate that scale-free patterns are observed in a spatially extended stochastic system whose deterministic part undergoes a saddle-node bifurcation. Remarkably, the scale-free patterns appear only at a particular time in relaxation processes from a spatially homogeneous initial condition. We characterize the scale-free nature in terms of the spatial configuration of the exiting time from a marginal saddle where the pair annihilation of a saddle and a node occurs at the bifurcation point. Critical exponents associated with the scale-free patterns are determined by numerical experiments.
dc.description4 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0806.1096
dc.identifierhttp://arxiv.org/abs/0806.1096
dc.identifierPhys. Rev. E 78, 055202(R) (2008)
dc.identifierdoi:10.1103/PhysRevE.78.055202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174094
dc.subjectStatistical Mechanics
dc.titleScale-free patterns at a saddle-node bifurcation in a stochastic system
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