2009/02/01 by Bingzhe Hou, Hou, Bingzhe, Xianfeng Ma +3
Computer Science · Mathematics · Physics and Astronomy · #37B10 #37D45 #54B20 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #math.DS #msc:37B10 #msc:37D45 #msc:54B20
paper · pdf · doi:10.48550/arxiv.0902.0106
9pages
arxiv created 2009/02/01 · openalex publication_date 2009/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the relation between Devaney chaos in the base system and Devaney chaos in its induced hyperspace system. We show that the latter need not imply the former. We also argue that this implication is not true even in the strengthened condition. Additionally we give an equivalent condition for the periodically density in the hyperspace system.