{"title":"一维Josephson结阵列到细胞神经网络的映射","authors":"L. Finger, V. Tavsanoglu","doi":"10.1109/CNNA.1996.566598","DOIUrl":null,"url":null,"abstract":"In this paper it is shown that one-dimensional Josephson junction arrays can be mapped onto Cellular Neural Networks under some restrictions. Analytic expressions to the stability of equilibria of these arrays are derived and applied to the behavior of vortex solutions. Relations between these static solutions and a particular solution of a partial differential equation are shown.","PeriodicalId":222524,"journal":{"name":"1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Mapping of one-dimensional Josephson junction arrays onto cellular neural networks\",\"authors\":\"L. Finger, V. Tavsanoglu\",\"doi\":\"10.1109/CNNA.1996.566598\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper it is shown that one-dimensional Josephson junction arrays can be mapped onto Cellular Neural Networks under some restrictions. Analytic expressions to the stability of equilibria of these arrays are derived and applied to the behavior of vortex solutions. Relations between these static solutions and a particular solution of a partial differential equation are shown.\",\"PeriodicalId\":222524,\"journal\":{\"name\":\"1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CNNA.1996.566598\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CNNA.1996.566598","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mapping of one-dimensional Josephson junction arrays onto cellular neural networks
In this paper it is shown that one-dimensional Josephson junction arrays can be mapped onto Cellular Neural Networks under some restrictions. Analytic expressions to the stability of equilibria of these arrays are derived and applied to the behavior of vortex solutions. Relations between these static solutions and a particular solution of a partial differential equation are shown.