3 papers
math.DS2024
Kato's chaos of multiple mappings and its continuous self-maps
Yingcui Zhao
In 2016, Hou and Wang introduced the concept of multiple mappings based on iterated function system, which is an important branch of fractal theory. In this paper, we introduce the…
math.DS2023
Devaney chaos of multiple mappings from a set-valued view
Yingcui Zhao
In this paper, we introduce the definitions of periodic point, transitivity, sensitivity and Devaney chaos of multiple mappings from a set-valued perspective. We study the relation…
math.DS2023
Shadowing, average shadowing and transitive properties of multiple mappings
Yingcui Zhao
In 2016, Hou and Wang introduced the concept of multiple mappings based on iterated function system, which is an important branch of fractal theory. In this paper, we introduce the…