Ivan A. Korneev, Ibadulla R. Ramazanov, Andrei V. Slepnev, Tatiana E. Vadivasova, Vladimir V. Semenov
{"title":"可激发振荡器集合中的游波:记忆耦合与噪声的相互作用","authors":"Ivan A. Korneev, Ibadulla R. Ramazanov, Andrei V. Slepnev, Tatiana E. Vadivasova, Vladimir V. Semenov","doi":"arxiv-2404.14147","DOIUrl":null,"url":null,"abstract":"Using methods of numerical simulation, we demonstrate the constructive role\nof memristive coupling in the context of the travelling waves formation and\nrobustness in an ensemble of excitable oscillators described by the\nFitzHugh-Nagumo neuron model. First, the revealed aspects of the memristive\ncoupling action are shown on an example of the deterministic model where the\nmemristive properties of the coupling elements provide for achieving travelling\nwaves at lower coupling strength as compared to non-adaptive diffusive\ncoupling. In the presence of noise, the positive role of memristive coupling is\nmanifested as significant increasing a noise intensity critical value\ncorresponding to the noise-induced destruction of travelling waves as compared\nto classical diffusive interaction. In addition, we point out the second\nconstructive factor, the L{\\'e}vy noise whose properties provide for inducing\ntravelling waves.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"47 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Travelling waves in an ensemble of excitable oscillators: the interplay of memristive coupling and noise\",\"authors\":\"Ivan A. Korneev, Ibadulla R. Ramazanov, Andrei V. Slepnev, Tatiana E. Vadivasova, Vladimir V. Semenov\",\"doi\":\"arxiv-2404.14147\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using methods of numerical simulation, we demonstrate the constructive role\\nof memristive coupling in the context of the travelling waves formation and\\nrobustness in an ensemble of excitable oscillators described by the\\nFitzHugh-Nagumo neuron model. First, the revealed aspects of the memristive\\ncoupling action are shown on an example of the deterministic model where the\\nmemristive properties of the coupling elements provide for achieving travelling\\nwaves at lower coupling strength as compared to non-adaptive diffusive\\ncoupling. In the presence of noise, the positive role of memristive coupling is\\nmanifested as significant increasing a noise intensity critical value\\ncorresponding to the noise-induced destruction of travelling waves as compared\\nto classical diffusive interaction. In addition, we point out the second\\nconstructive factor, the L{\\\\'e}vy noise whose properties provide for inducing\\ntravelling waves.\",\"PeriodicalId\":501305,\"journal\":{\"name\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-22\",\"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-2404.14147\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.14147","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Travelling waves in an ensemble of excitable oscillators: the interplay of memristive coupling and noise
Using methods of numerical simulation, we demonstrate the constructive role
of memristive coupling in the context of the travelling waves formation and
robustness in an ensemble of excitable oscillators described by the
FitzHugh-Nagumo neuron model. First, the revealed aspects of the memristive
coupling action are shown on an example of the deterministic model where the
memristive properties of the coupling elements provide for achieving travelling
waves at lower coupling strength as compared to non-adaptive diffusive
coupling. In the presence of noise, the positive role of memristive coupling is
manifested as significant increasing a noise intensity critical value
corresponding to the noise-induced destruction of travelling waves as compared
to classical diffusive interaction. In addition, we point out the second
constructive factor, the L{\'e}vy noise whose properties provide for inducing
travelling waves.