{"title":"希尔尼科夫轨道在自主三阶混沌锁相环中","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":"{\"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}","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}
Shilnikov orbits in an autonomous third-order chaotic phase-locked loop
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.