{"title":"Rössler吸引子的累积量分析:分析研究","authors":"L. Beltrán, V. Kontorovich, Z. Lovtchikova","doi":"10.1109/CERMA.2008.34","DOIUrl":null,"url":null,"abstract":"This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called \"degenerate cumulant equations method.\" The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for the variance calculation at the output of the Rossler strange attractor is shown.","PeriodicalId":126172,"journal":{"name":"2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cumulant Analysis of Rössler Attractor: Analytical Study\",\"authors\":\"L. Beltrán, V. Kontorovich, Z. Lovtchikova\",\"doi\":\"10.1109/CERMA.2008.34\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called \\\"degenerate cumulant equations method.\\\" The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for the variance calculation at the output of the Rossler strange attractor is shown.\",\"PeriodicalId\":126172,\"journal\":{\"name\":\"2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CERMA.2008.34\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CERMA.2008.34","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cumulant Analysis of Rössler Attractor: Analytical Study
This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called "degenerate cumulant equations method." The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for the variance calculation at the output of the Rossler strange attractor is shown.
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