Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing

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dc.creatorSi, Fen-Ni
dc.creatorLiu, Quan-Xing
dc.creatorZhang, Jin-Zhong
dc.creatorZhou, Lu-Qun
dc.date2007-06-13
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:54:43Z
dc.date.available2026-07-07T08:54:43Z
dc.descriptionIt has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling waves under different noises and periodic forces, using a simplified Oregonator model. Depending on different noises and periodic forces, we have observed different types of wave propagation (or their disappearance). Moreover, the reversal phenomena are observed in this system based on the numerical experiments in the one-dimensional space. As an explanation, we regard it as the effect of periodic forces. Thus, we give qualitative explanations to how reversal phenomena stably appear, which seem to arise from the mixing function of the periodic force and the noise. And the output period and three velocities (the normal, the positive and the negative) of the travelling waves are defined and their relationship with the periodic forces, along with the types of waves, are also studied in sub-excitable system under a fixed noise intensity.
dc.descriptionSome references and information are added in the modified version. Accepted, The European Physical Journal B
dc.identifierhttps://arxiv.org/abs/0706.1917
dc.identifierhttp://arxiv.org/abs/0706.1917
dc.identifierEur. Phys. J. B 60, 507-513 (2007)
dc.identifierdoi:10.1140/epjb/e2008-00009-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146035
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.subjectFluid Dynamics
dc.subjectMedical Physics
dc.titlePropagation of travelling waves in sub-excitable systems driven by noise and periodic forcing
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