{"title":"Chaotic modes in electrotechnical system with transducers","authors":"V. J. Zhuikov, A. Leonov, R. Strzelecki","doi":"10.1109/INTLEC.1989.88275","DOIUrl":null,"url":null,"abstract":"Nonlinear electrotechnic systems with electric power inverters can be described by equations with constant or convertible commutation moments depending on the type of semiconductor element model used. To investigate such systems a qualitatively new theory is needed that is capable of a comparatively deep analysis of the characteristics of the objects studied. Recent studies of the incidental fluctuation of different quantities were mainly based on qualitative dynamic systems theory, which could not elucidate the chaotic process structure as it does not use the incidental perturbations. It is suggested that the stochastic regimes found in determined systems, the notion of the strange attractor in dynamic systems theory, the theory of self-organization, and Feigenbaum's theory allow a more complete investigation of the chaotic behavior of a large number of nonlinear systems.<<ETX>>","PeriodicalId":272740,"journal":{"name":"Conference Proceedings., Eleventh International Telecommunications Energy Conference","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Proceedings., Eleventh International Telecommunications Energy Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INTLEC.1989.88275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Nonlinear electrotechnic systems with electric power inverters can be described by equations with constant or convertible commutation moments depending on the type of semiconductor element model used. To investigate such systems a qualitatively new theory is needed that is capable of a comparatively deep analysis of the characteristics of the objects studied. Recent studies of the incidental fluctuation of different quantities were mainly based on qualitative dynamic systems theory, which could not elucidate the chaotic process structure as it does not use the incidental perturbations. It is suggested that the stochastic regimes found in determined systems, the notion of the strange attractor in dynamic systems theory, the theory of self-organization, and Feigenbaum's theory allow a more complete investigation of the chaotic behavior of a large number of nonlinear systems.<>
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