{"title":"两个lc -振荡器的非线性模型同步","authors":"I. Filanovsky, C. Verhoeven","doi":"10.1109/MWSCAS.2007.4488631","DOIUrl":null,"url":null,"abstract":"Synchronization of two LC-oscillators is a deeply nonlinear process. We consider synchronization of two van der Pol oscillators using different coupling circuits (four cases are considered), and coupled via first harmonic. We derive the equations for calculation of the synchronization frequency, and the equations for the oscillation amplitudes. It is shown that, in the general case, the synchronization frequency is different from the frequencies of individual oscillators before coupling. The oscillation amplitudes are also not equal: one oscillator becomes a master, and the other oscillator becomes a slave.","PeriodicalId":256061,"journal":{"name":"2007 50th Midwest Symposium on Circuits and Systems","volume":"96 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Synchronization of two LC-oscillators using nonlinear models\",\"authors\":\"I. Filanovsky, C. Verhoeven\",\"doi\":\"10.1109/MWSCAS.2007.4488631\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Synchronization of two LC-oscillators is a deeply nonlinear process. We consider synchronization of two van der Pol oscillators using different coupling circuits (four cases are considered), and coupled via first harmonic. We derive the equations for calculation of the synchronization frequency, and the equations for the oscillation amplitudes. It is shown that, in the general case, the synchronization frequency is different from the frequencies of individual oscillators before coupling. The oscillation amplitudes are also not equal: one oscillator becomes a master, and the other oscillator becomes a slave.\",\"PeriodicalId\":256061,\"journal\":{\"name\":\"2007 50th Midwest Symposium on Circuits and Systems\",\"volume\":\"96 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 50th Midwest Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.2007.4488631\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 50th Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2007.4488631","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synchronization of two LC-oscillators using nonlinear models
Synchronization of two LC-oscillators is a deeply nonlinear process. We consider synchronization of two van der Pol oscillators using different coupling circuits (four cases are considered), and coupled via first harmonic. We derive the equations for calculation of the synchronization frequency, and the equations for the oscillation amplitudes. It is shown that, in the general case, the synchronization frequency is different from the frequencies of individual oscillators before coupling. The oscillation amplitudes are also not equal: one oscillator becomes a master, and the other oscillator becomes a slave.
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