登录 注册 会员服务 联系我们

A chaotic function possessing a scrambled set with positive Lebesgue measure

  • Published:1984 Issue:1 Volume:92 Page:45-49
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Kan I.

Abstract

A continuous function, chaotic in the sense of Li and Yorke, is constructed which possesses a scrambled set of positive Lebesgue measure.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Period three implies chaos;Li, T. Y.;Amer. Math. Monthly,1975

2. A chaotic function with some extremal properties;Smítal, J.;Proc. Amer. Math. Soc.,1983

3. Chaos in 𝐶⁰-endomorphism of interval;Osikawa, Motosige;Publ. Res. Inst. Math. Sci.,1981

4. The Mathesis Series;Gelbaum, Bernard R.,1964

5. Actualit\'{e}s Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1301;Kahane, Jean-Pierre,1963

Cited by 24 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cardinalities of scrambled sets and positive scrambled sets;Topology and its Applications;2024-02

2. Packing Entropy of Saturated Sets for Nonuniformly Hyperbolic Systems;International Journal of Bifurcation and Chaos;2022-09-15

3. LI–YORKE CHAOS ALMOST EVERYWHERE: ON THE PERVASIVENESS OF DISJOINT EXTREMALLY SCRAMBLED SETS;Bulletin of the Australian Mathematical Society;2022-03-03

4. Distributional chaos in multifractal analysis, recurrence and transitivity;Ergodic Theory and Dynamical Systems;2019-08-27

5. Positive Measure Scrambled Sets of Some Chaotic Functions;International Journal of Bifurcation and Chaos;2018-04
同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3