{"title":"关于单项式hsamnon映射的一个猜想","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":"{\"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}","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}
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.
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