Chaotic Cosine Operator Functions Generated by Group Actions

被引:0
|
作者
Chung-Chuan Chen
Seyyed Mohammad Tabatabaie
Ali Mohammadi
机构
[1] National Taichung University of Education,Department of Mathematics Education
[2] University of Qom,Department of Mathematics
来源
Iranian Journal of Science and Technology, Transactions A: Science | 2020年 / 44卷
关键词
Chaos; Cosine operator function; Topological transitivity; Group action; 47A16; 54H20;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we give some necessary conditions of the density of periodic elements for cosine operator functions generated by group actions. The sufficient condition for such cosine operator functions to be chaotic is given as well. The obtained results can be applied for quotient spaces, double coset spaces and hypergroups.
引用
收藏
页码:465 / 472
页数:7
相关论文
共 50 条
  • [31] Continuous functions on primal topological spaces induced by group actions
    Mejias, Luis Fernando
    Vielma, Jorge
    Aponte, Elvis
    De Lima, Lourival Rodrigues
    AIMS MATHEMATICS, 2025, 10 (01): : 793 - 808
  • [32] Poincaré series and zeta functions for surface group actions on ℝ-trees
    Mark Pollicott
    Richard Sharp
    Mathematische Zeitschrift, 1997, 226 : 335 - 347
  • [33] On the Steklov averages in operator cosine function framework
    Kivinukk, Andi
    Seletski, Anna
    FILOMAT, 2023, 37 (05) : 1635 - 1651
  • [34] A novel Cosine-Cosine chaotic map-based video encryption scheme
    Kumari S.
    Dua M.
    Dua S.
    Dhingra D.
    Journal of Engineering and Applied Science, 2024, 71 (01):
  • [35] On approximation processes defined by a cosine operator function
    Kivinukk, Andi
    Saksa, Anna
    Zeltser, Maria
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2017, 66 (02) : 214 - 224
  • [36] Chaotic actions of topological semigroups
    Schneider, Friedrich Martin
    Kerkhoff, Sebastian
    Behrisch, Mike
    Siegmund, Stefan
    SEMIGROUP FORUM, 2013, 87 (03) : 590 - 598
  • [37] Chaotic actions of topological semigroups
    Friedrich Martin Schneider
    Sebastian Kerkhoff
    Mike Behrisch
    Stefan Siegmund
    Semigroup Forum, 2013, 87 : 590 - 598
  • [38] CHAOTIC FEATURE OF MARTIN PROCESS IMPOSED ON THE COSINE FUNCTION
    Gao, Chuanhou
    Zhou, Zhimin
    Zeng, Jiusun
    Chen, Jiming
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2009, 17 (02) : 191 - 195
  • [39] A note on the cosine operator function for Mellin sampling series
    Kivinukk, Andi
    Tamberg, Gert
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2024, 22 (01):
  • [40] Topological Properties on Hyperspace of Group Actions
    Huang, Xiaojun
    Wang, Xian
    RESULTS IN MATHEMATICS, 2022, 77 (03)