Chong Yang and Denghua Zhang. Chaotic Behavior of Co-Semigroups of Operators. Dynamic Systems and Applications 29 (2020), No. 2, 281-287
https://doi.org/10.46719/dsa20202926
ABSTRACT.
This paper characterizes the linear dynamic behaviour in Co-semigroups. Firstly,
a syndetic sequence is used to character hereditarily hypercyclic. By irregular vectors, several necessary and sufficient conditions that a Co-semigroup is Li-Yorke chaos are obtained. Then the Li-Yorke Chaos Criterion is used to better understand the Li-Yorke Chaos. The relationship is given between discrete and continuous case. The obtained results can help to better understand the relationship between hypercyclicity and Li-Yorke chaos in Co-semigroups.
AMS (MOS) Subject Classification. 47A16.