Stable/unstable continua of cw-expansive flows

Artigue A.; Carvalho B.; Tacuri M. · Qualitative Theory of Dynamical Systems (2025) · DOI: 10.1007/s12346-025-01374-z

Resumen

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. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

Instituciones: Universidad Nacional de Ingeniería