{"title":"研究蔡氏电路家族混沌的通用电路","authors":"G. Lin","doi":"10.1109/MWSCAS.1991.251999","DOIUrl":null,"url":null,"abstract":"The author presents a canonical piecewise-linear circuit capable of realizing every member of Chua's circuit family. It contains only six two-terminal elements; five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that: it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector field, and it contains the minimum number of circuit elements needed for such a circuit. Using this circuit, many chaotic attractors which have not been observed before have been found. Among them, the author reports on a special example: a nonfractal chaotic attractor.<<ETX>>","PeriodicalId":6453,"journal":{"name":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","volume":"5 1","pages":"772-775 vol.2"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A universal circuit for studying chaos in Chua's circuit family\",\"authors\":\"G. Lin\",\"doi\":\"10.1109/MWSCAS.1991.251999\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author presents a canonical piecewise-linear circuit capable of realizing every member of Chua's circuit family. It contains only six two-terminal elements; five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that: it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector field, and it contains the minimum number of circuit elements needed for such a circuit. Using this circuit, many chaotic attractors which have not been observed before have been found. Among them, the author reports on a special example: a nonfractal chaotic attractor.<<ETX>>\",\"PeriodicalId\":6453,\"journal\":{\"name\":\"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems\",\"volume\":\"5 1\",\"pages\":\"772-775 vol.2\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.1991.251999\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1991.251999","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A universal circuit for studying chaos in Chua's circuit family
The author presents a canonical piecewise-linear circuit capable of realizing every member of Chua's circuit family. It contains only six two-terminal elements; five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that: it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector field, and it contains the minimum number of circuit elements needed for such a circuit. Using this circuit, many chaotic attractors which have not been observed before have been found. Among them, the author reports on a special example: a nonfractal chaotic attractor.<>