{"title":"论α混沌点和混沌(反混沌)函数族。","authors":"Anna Loranty, Ryszard J Pawlak","doi":"10.1063/5.0179463","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper, a new definition of the entropy of functions and α-entropy points (α≥1) will be introduced. These concepts will be used to explore the possibility of internal disruptions (introducing a virus in the phase space) in order to receive an α-chaotic point.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On α-chaotic points and chaotic (antichaotic) families of functions.\",\"authors\":\"Anna Loranty, Ryszard J Pawlak\",\"doi\":\"10.1063/5.0179463\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this paper, a new definition of the entropy of functions and α-entropy points (α≥1) will be introduced. These concepts will be used to explore the possibility of internal disruptions (introducing a virus in the phase space) in order to receive an α-chaotic point.</p>\",\"PeriodicalId\":9974,\"journal\":{\"name\":\"Chaos\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0179463\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0179463","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
On α-chaotic points and chaotic (antichaotic) families of functions.
In this paper, a new definition of the entropy of functions and α-entropy points (α≥1) will be introduced. These concepts will be used to explore the possibility of internal disruptions (introducing a virus in the phase space) in order to receive an α-chaotic point.
期刊介绍:
Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.