Work

Furstenberg Family and Chaos for Time-Varying Discrete Dynamical Systems

Year: 2024

Type: article

Abstract: Assume that (Y,ρ) is a nontrivial complete metric space, and that (Y,g1,∞) is a time-varying discrete dynamical system (T-VDDS), which is given by sequences (gl)l=1∞ of continuous selfmaps gl:Y→Y. In this paper, for a given Furstenberg family G and a given T-VDDS (Y,g1,∞), G-scrambled pairs of points of the system (Y,g1,∞) (which contains the well-known scrambled pairs) are provided. Some properties of the set of G-scrambled pairs of a given T-VDDS (Y,g1,∞) are studied. Moreover, the generically G-chaotic T-VDDS and the generically strongly G-chaotic T-VDDS are defined. A sufficient condition for a given T-VDDS to be generically strongly G-chaotic is also presented.

Source: Entropy

DOI: 10.3390/e26080674

Authors: Risong Li, Yongjiang Li, Tianxiu Lu, Jiazheng Zhao, Jing Su

Institutions: Guangdong Ocean University, Sichuan University of Science and Engineering

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: Sichuan University of Science and Engineering, Natural Science Foundation of Sichuan Province