{"title":"Shilnikov orbits in an autonomous third-order chaotic phase-locked loop","authors":"I. Watada, T. Endo","doi":"10.1109/ISCAS.1997.621836","DOIUrl":null,"url":null,"abstract":"We investigate Shilnikov homoclinic bifurcation from a new type of phase-locked loop (PLL) which uses second-order loop filter with no modulation carrier input. This system can be represented as a 3rd-order autonomous system with piecewise linear characteristics. We have found many Shilnikov orbits, and draw a bifurcation diagram in gain K/sub 0/ versus detuning /spl delta/ parameter plane.","PeriodicalId":68559,"journal":{"name":"电路与系统学报","volume":"5 1","pages":"809-812 vol.2"},"PeriodicalIF":0.0000,"publicationDate":"1997-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"33","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"电路与系统学报","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1109/ISCAS.1997.621836","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 33
Abstract
We investigate Shilnikov homoclinic bifurcation from a new type of phase-locked loop (PLL) which uses second-order loop filter with no modulation carrier input. This system can be represented as a 3rd-order autonomous system with piecewise linear characteristics. We have found many Shilnikov orbits, and draw a bifurcation diagram in gain K/sub 0/ versus detuning /spl delta/ parameter plane.
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