{"title":"基于间歇耦合电容器的松弛振荡器网络","authors":"F. Komatsu, H. Torikai, Toshimichi Saito","doi":"10.1109/ISCAS.2000.856103","DOIUrl":null,"url":null,"abstract":"This paper presents N binary hysteresis relaxation oscillators connected by the intermittently coupled capacitors. The network exhibits various interesting synchronous phenomena. As a powerful analysis tool, we derive a hybrid return map which has one real and N binary states. Using this map, the stability of the periodic synchronization can be analyzed simply by the binary states: it is not necessary to check the real state. Then we classify basic phenomena in a bifurcation diagram. Typical phenomena are verified in the laboratory.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":"33 2 1","pages":"487-490 vol.3"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A network of relaxation oscillators based on intermittently coupled capacitors\",\"authors\":\"F. Komatsu, H. Torikai, Toshimichi Saito\",\"doi\":\"10.1109/ISCAS.2000.856103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents N binary hysteresis relaxation oscillators connected by the intermittently coupled capacitors. The network exhibits various interesting synchronous phenomena. As a powerful analysis tool, we derive a hybrid return map which has one real and N binary states. Using this map, the stability of the periodic synchronization can be analyzed simply by the binary states: it is not necessary to check the real state. Then we classify basic phenomena in a bifurcation diagram. Typical phenomena are verified in the laboratory.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":\"33 2 1\",\"pages\":\"487-490 vol.3\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.856103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.856103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A network of relaxation oscillators based on intermittently coupled capacitors
This paper presents N binary hysteresis relaxation oscillators connected by the intermittently coupled capacitors. The network exhibits various interesting synchronous phenomena. As a powerful analysis tool, we derive a hybrid return map which has one real and N binary states. Using this map, the stability of the periodic synchronization can be analyzed simply by the binary states: it is not necessary to check the real state. Then we classify basic phenomena in a bifurcation diagram. Typical phenomena are verified in the laboratory.
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