{"title":"圆几何系统中的鲁棒混沌","authors":"V. M. Doroshenko, V. Kruglov, M. Pozdnyakov","doi":"10.1109/PIERS.2017.8262294","DOIUrl":null,"url":null,"abstract":"We propose two models of systems that manifest robust chaotic regimes associated with uniformly hyperbolic attractors. The model schemes are rings of oscillators and nonlinear elements arranged in such way that signals undergo special transformation during full rotation along the rings. The models are governed by systems of ordinary differential equations. These equations were studied numerically. We discuss the results of numerical simulation that confirm our suggestion of robust hyperbolic chaos in proposed models.","PeriodicalId":387984,"journal":{"name":"2017 Progress In Electromagnetics Research Symposium - Spring (PIERS)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Robust chaos in systems of circular geometry\",\"authors\":\"V. M. Doroshenko, V. Kruglov, M. Pozdnyakov\",\"doi\":\"10.1109/PIERS.2017.8262294\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose two models of systems that manifest robust chaotic regimes associated with uniformly hyperbolic attractors. The model schemes are rings of oscillators and nonlinear elements arranged in such way that signals undergo special transformation during full rotation along the rings. The models are governed by systems of ordinary differential equations. These equations were studied numerically. We discuss the results of numerical simulation that confirm our suggestion of robust hyperbolic chaos in proposed models.\",\"PeriodicalId\":387984,\"journal\":{\"name\":\"2017 Progress In Electromagnetics Research Symposium - Spring (PIERS)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 Progress In Electromagnetics Research Symposium - Spring (PIERS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PIERS.2017.8262294\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Progress In Electromagnetics Research Symposium - Spring (PIERS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PIERS.2017.8262294","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose two models of systems that manifest robust chaotic regimes associated with uniformly hyperbolic attractors. The model schemes are rings of oscillators and nonlinear elements arranged in such way that signals undergo special transformation during full rotation along the rings. The models are governed by systems of ordinary differential equations. These equations were studied numerically. We discuss the results of numerical simulation that confirm our suggestion of robust hyperbolic chaos in proposed models.
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