Weak Mixing in Switched Systems

Abstract

Given a switched system, we introduce weakly mixing sets of type 1, 2 and Xiong chaotic sets of type 1, 2 with respect to a given set and show that they are equivalent respectively.

arXiv comment12pages; accepted for publication in SCIENCE CHINA Mathematics

References in corpus (3)

• Positive topological entropy and $\Delta$-weakly mixing sets
• On multi-transitivity with respect to a vector
• Almost strong mixing group actions in topological dynamics