Relations among Density-based Equicontinuities
DOI:
https://doi.org/10.14738/aivp.1402.20242Keywords:
density-equicontinuity, minimal systems, chaos, topological dynamical systemsAbstract
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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Copyright (c) 2026 Yue Zhang, Tianxiu Lu, Siyu Gong
This work is licensed under a Creative Commons Attribution 4.0 International License.
