{"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}
引用次数: 1
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.