{"title":"On a conjecture about monomial Hénon mappings","authors":"Z. Elhadj, J. Sprott","doi":"10.12816/0006183","DOIUrl":null,"url":null,"abstract":"A monomial Henon mapping is defined as the well- known two-dimensional Henon map with the quadratic term replaced by a monomial. This paper introduces a conjecture about monomial Henon mappings: Even Henon mappings are chaotic and odd Henon mappings are not chaotic in the first quadrant of the bifurcation parameter space. This conjecture is based on numerical simulations of this type of map.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0006183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A monomial Henon mapping is defined as the well- known two-dimensional Henon map with the quadratic term replaced by a monomial. This paper introduces a conjecture about monomial Henon mappings: Even Henon mappings are chaotic and odd Henon mappings are not chaotic in the first quadrant of the bifurcation parameter space. This conjecture is based on numerical simulations of this type of map.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
