Devaney Chaos for the Functional Envelope of a Nonautonomous Discrete Dynamical System
This paper investigates Devaney chaos in the L1-functional envelope system associated with a nonautonomous discrete dynamical system. We prove that if (I,f∞) is weakly mixing of order 3, then its L1-functional envelope system is weakly mixing of all orders. Moreover, if, in addition, the periodic points of (I,f∞) are dense in I, then the functional envelope system (L1(I,I),H∞) is Devaney chaotic.
Authors
- Huajun Gong (ORCID: https://orcid.org/0000-0002-1924-7789)
Institutions
- Shenzhen University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2026-09-14
- DOI
- https://doi.org/10.3390/math14183326
- Primary Topic
- Chaos control and synchronization
- Type
- article
- Field-Weighted Citation Impact
- 0.00