Stable/unstable continua of cw-expansive flows

2024/10/01 by Alfonso Artigue, Artigue, Alfonso, Bernardo Carvalho +3
Engineering · #Dynamical Systems (math.DS) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows

paper · pdf · doi:10.48550/arxiv.2410.00514

openalex publication_date 2024/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua.

Related

• Rescaled-Expansive Flows: Unstable Sets and Topological Entropy
• Singular Cw-Expansive Flows
• Discrete and Continuous Topological Dynamics: Fields of Cross Sections\n and Expansive Flows
• Expansive measures for flows
• Expansiveness for flows on noncompact spaces