{"title":"驱动非线性四阶电路中的魔鬼阶梯、准周期性和混沌","authors":"I. Stouboulos, I. Kyprianidis","doi":"10.1109/ICECS.1996.584482","DOIUrl":null,"url":null,"abstract":"We study the dynamics of a nonlinear fourth-order electric circuit driven by a sinusoidal voltage source. For the parameter values of the circuit elements we have chosen, phase-locked states, two-frequency and three-frequency quasi-periodicity are observed, while chaotic attractors are created by interior crisis. As the nonlinearity of the circuit increases, the well known double scroll attractor is created.","PeriodicalId":402369,"journal":{"name":"Proceedings of Third International Conference on Electronics, Circuits, and Systems","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Devil's staircases, quasiperiodicity and chaos in a driven nonlinear fourth-order electric circuit\",\"authors\":\"I. Stouboulos, I. Kyprianidis\",\"doi\":\"10.1109/ICECS.1996.584482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the dynamics of a nonlinear fourth-order electric circuit driven by a sinusoidal voltage source. For the parameter values of the circuit elements we have chosen, phase-locked states, two-frequency and three-frequency quasi-periodicity are observed, while chaotic attractors are created by interior crisis. As the nonlinearity of the circuit increases, the well known double scroll attractor is created.\",\"PeriodicalId\":402369,\"journal\":{\"name\":\"Proceedings of Third International Conference on Electronics, Circuits, and Systems\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-10-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Third International Conference on Electronics, Circuits, and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICECS.1996.584482\",\"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 Third International Conference on Electronics, Circuits, and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICECS.1996.584482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Devil's staircases, quasiperiodicity and chaos in a driven nonlinear fourth-order electric circuit
We study the dynamics of a nonlinear fourth-order electric circuit driven by a sinusoidal voltage source. For the parameter values of the circuit elements we have chosen, phase-locked states, two-frequency and three-frequency quasi-periodicity are observed, while chaotic attractors are created by interior crisis. As the nonlinearity of the circuit increases, the well known double scroll attractor is created.