{"title":"强迫分段线性可激系统中的共振","authors":"H. Othmer, M. Watanabe","doi":"10.1109/IEMBS.1991.684982","DOIUrl":null,"url":null,"abstract":"Periodically-forced excitable systems arise in many biological contexts, but they have not been studied to the extent that forced oscillatory systems have been. In previous papers a theory was developed for a certain class of forced excitable sytems, but that theory is restricted to slowly-varying forcing. In this note we show that a number of new phenomena arise with high-frequency forcing.","PeriodicalId":297811,"journal":{"name":"Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resonance In Forced Piecewise-linear Excitable Systems\",\"authors\":\"H. Othmer, M. Watanabe\",\"doi\":\"10.1109/IEMBS.1991.684982\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Periodically-forced excitable systems arise in many biological contexts, but they have not been studied to the extent that forced oscillatory systems have been. In previous papers a theory was developed for a certain class of forced excitable sytems, but that theory is restricted to slowly-varying forcing. In this note we show that a number of new phenomena arise with high-frequency forcing.\",\"PeriodicalId\":297811,\"journal\":{\"name\":\"Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IEMBS.1991.684982\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEMBS.1991.684982","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Resonance In Forced Piecewise-linear Excitable Systems
Periodically-forced excitable systems arise in many biological contexts, but they have not been studied to the extent that forced oscillatory systems have been. In previous papers a theory was developed for a certain class of forced excitable sytems, but that theory is restricted to slowly-varying forcing. In this note we show that a number of new phenomena arise with high-frequency forcing.