2021/07/04 by Arbieto, Alexander, Artigue, Alfonso, Rego, Elias
#Dynamical Systems (math.DS) #FOS: Mathematics #Primary code 37B05 #Secundary code 37C70
paper · doi:10.48550/arxiv.2107.01708
In this work we introduce and explore a rescaled-theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a rescaled version of the local unstable sets and the unstable points. We find conditions for points of the phase space to exhibit non-trivial connected pieces of such unstable sets. We apply these results to the problem of proving positive topological entropy for rescaled-expansive flows with non-singular Lyapunov stable sets.