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math.DS2024
Nonstandard analysis of asymptotic points of expansive systems
Alfonso Artigue, Luis Ferrari, Jorge Groisman
In this paper we apply techniques from nonstandard analysis to study expansive dynamical systems. Among other results, we provide a necessary and sufficient condition for an expans…
math.DS2024
Stable/unstable continua of cw-expansive flows
Alfonso Artigue, Bernardo Carvalho, Margoth Tacuri
We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations betwe…