Open AccessTransitivity and sensitivity for the $ p $-periodic discrete system via Furstenberg families
Author(s) -
Xiaofang Yang,
Tianxiu Lu,
Anwar Waseem
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022078
Subject(s) - transitive relation , chaotic , sensitivity (control systems) , mathematics , consistency (knowledge bases) , relation (database) , pure mathematics , discrete mathematics , computer science , combinatorics , engineering , database , electronic engineering , artificial intelligence
The consistency and implication relation of chaotic properties of $ p $-periodic discrete system and its induced autonomous discrete system are obtained. The chaotic properties discussed involve several types of transitivity and some stronger forms of sensitivity in the sense of Furstenberg families.