{"title":"I-superior approach to study the stability of logistic map","authors":"M. Rani, Saurabh Goel","doi":"10.1109/ICMET.2010.5598469","DOIUrl":null,"url":null,"abstract":"Verlhust logistic map f(x) = r x (1 − x) is a widely studied and applicable model in discrete dynamical system. Its behavior has been, extensively, studied in Picard orbit and recently studied in superior orbit. Rani et. al. [22] and [25] has shown that in superior orbit, logistic map is stable for larger values of r than that of Picard orbit. In this paper, we have attempted to make the map stable for further larger values of r via I-superior iterates.","PeriodicalId":415118,"journal":{"name":"2010 International Conference on Mechanical and Electrical Technology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Mechanical and Electrical Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMET.2010.5598469","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Verlhust logistic map f(x) = r x (1 − x) is a widely studied and applicable model in discrete dynamical system. Its behavior has been, extensively, studied in Picard orbit and recently studied in superior orbit. Rani et. al. [22] and [25] has shown that in superior orbit, logistic map is stable for larger values of r than that of Picard orbit. In this paper, we have attempted to make the map stable for further larger values of r via I-superior iterates.
Verlhust logistic映射f(x) = r x(1−x)是离散动力系统中一个被广泛研究和应用的模型。它的行为已经在皮卡德轨道上进行了广泛的研究，最近在上轨道上进行了研究。Rani et al.[22]和[25]已经表明，在优越轨道上，逻辑映射在r值较大时比皮卡德轨道稳定。在本文中，我们试图通过I-superior迭代使映射在更大的r值下保持稳定。
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