Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems

Xiaofang Yang, Tianxiu Lu and Anwar Waseem

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: In this paper, fuzzy mapping is selected to study the coupled system in non-autonomous systems. The following conclusions are obtained: (1) The fuzzy system (F(X),{f˜n}n=1∞) is P1-chaos, then the coupled system (1–3) is P1 chaos. Where P1-chaos is one of the followings: (F1,F2)-Chaos, Li–Yorke chaos, distributional chaos, spatio-temporal chaos, densely δ-chaos, densely chaos, Ruelle-Takens chaos, Kato’s chaos. (2) The fuzzy system (F(X),{f˜n}n=1∞) is P2- sensitive, then the coupled system (1–3) is P2-sensitive. Where P2-sensitive is one of the followings: sensitive, Li–Yorke sensitive, densely Li–Yorke sensitive, infinitely sensitive, syndetically sensitive, cofinitely sensitive, F-sensitive, (F1,F2)-sensitive. (3) The fuzzy system (F(X),{f˜n}n=1∞) is transitive, exactness or accessible, then the coupled system (1–3) is transitive, exactness or accessible.

Keywords: Fuzzy mapping; Coupled map lattices; Non-autonomous discrete systems; Chaos (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921003337
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003337

DOI: 10.1016/j.chaos.2021.110979

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().