Relations among Density-based Equicontinuities

Authors

  • Yue Zhang College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China and South Sichuan Applied Mathematics Research Center, Zigong, China
  • Tianxiu Lu College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China
  • Siyu Gong College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China

DOI:

https://doi.org/10.14738/aivp.1402.20242

Keywords:

density-equicontinuity, minimal systems, chaos, topological dynamical systems

Abstract

Equicontinuity is a regularity condition for characterizing global orbital stability in topological dynamical systems (t.d.s.). This study investigates the relationship between four kinds of density-based equicontinuity in t.d.s., and examines their inhibitory effects on chaos. Under the framework of minimality, density-equicontinuity, mean equicontinuity, density- -equicontinuity, and almost density-equicontinuity are obtained to be equivalent to each other. And density-equicontinuity is incompatible with chaos.

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Published

2026-04-26

How to Cite

Zhang, Y., Lu, T., & Gong, S. (2026). Relations among Density-based Equicontinuities. European Journal of Applied Sciences, 14(02), 446–459. https://doi.org/10.14738/aivp.1402.20242

Issue

Vol. 14 No. 02 (2026): European Journal of Applied Sciences

Section

Articles

License

Copyright (c) 2026 Yue Zhang, Tianxiu Lu, Siyu Gong

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.