{"title":"同步振荡流在两个并联的斯特林电阻","authors":"Yuki Araya, Hiroaki Ito, Hiroyuki Kitahata","doi":"arxiv-2311.17570","DOIUrl":null,"url":null,"abstract":"We investigated the synchronization phenomena of the oscillatory flows in two\nparallelly connected Starling resistors, which are an ideal model system of two\ncoupled collapsible tubes merging into a single tube downstream. The stable\nsynchronization modes depended on the distance between the deformable region\nand the merging point; only an in-phase mode was stable for the large distance,\nin-phase and anti-phase modes were bistable for the middle distance, and again\nonly an in-phase mode was stable for the small distance. An anti-phase mode\nbecame stable through the subcritical pitchfork bifurcation by decreasing the\ndistance. Further decreasing the distance, the anti-phase mode became unstable\nthrough the subcritical Neimark-Sacker bifurcation. We also clarified the\ndistance dependence of the amplitude and frequency for each stable\nsynchronization mode.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"73 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Synchronized oscillatory flows in two parallelly connected Starling resistors\",\"authors\":\"Yuki Araya, Hiroaki Ito, Hiroyuki Kitahata\",\"doi\":\"arxiv-2311.17570\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigated the synchronization phenomena of the oscillatory flows in two\\nparallelly connected Starling resistors, which are an ideal model system of two\\ncoupled collapsible tubes merging into a single tube downstream. The stable\\nsynchronization modes depended on the distance between the deformable region\\nand the merging point; only an in-phase mode was stable for the large distance,\\nin-phase and anti-phase modes were bistable for the middle distance, and again\\nonly an in-phase mode was stable for the small distance. An anti-phase mode\\nbecame stable through the subcritical pitchfork bifurcation by decreasing the\\ndistance. Further decreasing the distance, the anti-phase mode became unstable\\nthrough the subcritical Neimark-Sacker bifurcation. We also clarified the\\ndistance dependence of the amplitude and frequency for each stable\\nsynchronization mode.\",\"PeriodicalId\":501305,\"journal\":{\"name\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"volume\":\"73 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-29\",\"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-2311.17570\",\"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-2311.17570","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synchronized oscillatory flows in two parallelly connected Starling resistors
We investigated the synchronization phenomena of the oscillatory flows in two
parallelly connected Starling resistors, which are an ideal model system of two
coupled collapsible tubes merging into a single tube downstream. The stable
synchronization modes depended on the distance between the deformable region
and the merging point; only an in-phase mode was stable for the large distance,
in-phase and anti-phase modes were bistable for the middle distance, and again
only an in-phase mode was stable for the small distance. An anti-phase mode
became stable through the subcritical pitchfork bifurcation by decreasing the
distance. Further decreasing the distance, the anti-phase mode became unstable
through the subcritical Neimark-Sacker bifurcation. We also clarified the
distance dependence of the amplitude and frequency for each stable
synchronization mode.