拓扑空间中离散动力系统的关系及其对紧空间集的超扩展

IF 0.3 Q3 SOCIAL SCIENCES, INTERDISCIPLINARY
Héctor Méndez-Gómez, Jorge Luís Yaulema-Castañeda, Paulina Fernanda . Bolaños-Logroño, Fernando Ricardo Márquez-Sañay
{"title":"拓扑空间中离散动力系统的关系及其对紧空间集的超扩展","authors":"Héctor Méndez-Gómez, Jorge Luís Yaulema-Castañeda, Paulina Fernanda . Bolaños-Logroño, Fernando Ricardo Márquez-Sañay","doi":"10.46925//rdluz.40.04","DOIUrl":null,"url":null,"abstract":"Several studies have been carried out related to the analysis of the relationship with respect to the dynamic properties of f and its hyperextension ̄f. However, the literature regarding the analysis of the effects of individual and collective chaos on their behaviour is scarce. Therefore, in this article several conjectures and questions are established according to the affectation of individual chaos in an ecosystem and its chaotic behaviour within the dynamics of this ecosystem, but as a whole. Thus, in the first instance, an introduction to the conceptualization of topological transitivity, chaos in the Devaney sense and how they are specified in continuous linear operators arranged in a Fréchet space (hypercyclic operators) will be established. In addition, the different notions of chaos that can occur depending on the relationship of the function, and its hyperextension will be described, to finally corroborate the present chaos with greater force than Devaney’saccording to the strong periodic specification property, the same one that applies to both f and a ̄f with the purpose of verifying the directionality in which individual and collective chaos can occur.","PeriodicalId":42302,"journal":{"name":"Revista de la Universidad del Zulia","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Relationships Between Discrete Dynamical Systems in Topological Spaces and their respective Hyperextensions to sets of Compact Spaces\",\"authors\":\"Héctor Méndez-Gómez, Jorge Luís Yaulema-Castañeda, Paulina Fernanda . Bolaños-Logroño, Fernando Ricardo Márquez-Sañay\",\"doi\":\"10.46925//rdluz.40.04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several studies have been carried out related to the analysis of the relationship with respect to the dynamic properties of f and its hyperextension ̄f. However, the literature regarding the analysis of the effects of individual and collective chaos on their behaviour is scarce. Therefore, in this article several conjectures and questions are established according to the affectation of individual chaos in an ecosystem and its chaotic behaviour within the dynamics of this ecosystem, but as a whole. Thus, in the first instance, an introduction to the conceptualization of topological transitivity, chaos in the Devaney sense and how they are specified in continuous linear operators arranged in a Fréchet space (hypercyclic operators) will be established. In addition, the different notions of chaos that can occur depending on the relationship of the function, and its hyperextension will be described, to finally corroborate the present chaos with greater force than Devaney’saccording to the strong periodic specification property, the same one that applies to both f and a ̄f with the purpose of verifying the directionality in which individual and collective chaos can occur.\",\"PeriodicalId\":42302,\"journal\":{\"name\":\"Revista de la Universidad del Zulia\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista de la Universidad del Zulia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46925//rdluz.40.04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"SOCIAL SCIENCES, INTERDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista de la Universidad del Zulia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46925//rdluz.40.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"SOCIAL SCIENCES, INTERDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

关于f的动力学性质和它的超伸展的关系的分析已经进行了一些研究。然而,关于个体和集体混乱对其行为影响的分析文献很少。因此,本文根据生态系统中个体混沌的影响及其在生态系统动力学中的混沌行为,但作为一个整体,建立了几个猜想和问题。因此,在第一个实例中,将建立拓扑传递性的概念,Devaney意义上的混沌,以及它们如何在fr空间中排列的连续线性算子(超循环算子)中被指定。此外,将描述根据函数关系可能发生的不同混沌概念及其超扩展,最终根据强周期规范性质以比Devaney更大的力量证实当前的混沌,该性质适用于f和a * f,目的是验证个体和集体混沌可以发生的方向性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Relationships Between Discrete Dynamical Systems in Topological Spaces and their respective Hyperextensions to sets of Compact Spaces
Several studies have been carried out related to the analysis of the relationship with respect to the dynamic properties of f and its hyperextension ̄f. However, the literature regarding the analysis of the effects of individual and collective chaos on their behaviour is scarce. Therefore, in this article several conjectures and questions are established according to the affectation of individual chaos in an ecosystem and its chaotic behaviour within the dynamics of this ecosystem, but as a whole. Thus, in the first instance, an introduction to the conceptualization of topological transitivity, chaos in the Devaney sense and how they are specified in continuous linear operators arranged in a Fréchet space (hypercyclic operators) will be established. In addition, the different notions of chaos that can occur depending on the relationship of the function, and its hyperextension will be described, to finally corroborate the present chaos with greater force than Devaney’saccording to the strong periodic specification property, the same one that applies to both f and a ̄f with the purpose of verifying the directionality in which individual and collective chaos can occur.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Revista de la Universidad del Zulia
Revista de la Universidad del Zulia SOCIAL SCIENCES, INTERDISCIPLINARY-
自引率
33.30%
发文量
74
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信