{"title":"Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems","authors":"Elena Rybalova, Nadezhda Semenova","doi":"arxiv-2405.06833","DOIUrl":null,"url":null,"abstract":"In this article we consider the influence of a periodic sequence of Gaussian\npulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We\nfound that on the way to complete spatial synchronization one can observe a\nnumber of variations of chimera states that are not typical for the parameter\nrange under consideration. For example, the following modes were found:\nbreathing chimera, chimera with intermittency in the incoherent part, traveling\nchimera with strong intermittency, and others. For comparison, here we also\nconsider the impact of a harmonic influence on the same chimera, and to\npreserve the generality of the conclusions, we compare the regimes caused by\nboth a purely positive harmonic influence and a positive-negative one.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"181 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.06833","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we consider the influence of a periodic sequence of Gaussian
pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We
found that on the way to complete spatial synchronization one can observe a
number of variations of chimera states that are not typical for the parameter
range under consideration. For example, the following modes were found:
breathing chimera, chimera with intermittency in the incoherent part, traveling
chimera with strong intermittency, and others. For comparison, here we also
consider the impact of a harmonic influence on the same chimera, and to
preserve the generality of the conclusions, we compare the regimes caused by
both a purely positive harmonic influence and a positive-negative one.