1 citations · 1 across the 4 of their papers we have counts for
4 papers
A shadowable chain recurrent set with an attached hyperbolic singularity
Sogo Murakami
We prove that every factor map between topological flows preserves the standard shadowing property if it is injective except for a closed orbit that shrinks to a singularity. As an…
Multidimensional transversality and the shadowing property for Axiom A diffeomorphisms
Sogo Murakami
Petrov and Pilyugin (2015) generalized a notion of transversality of Sakai (1995) using smooth curves. Their definition involves only continuous maps from to…
Oriented and standard shadowing properties on closed surfaces
Sogo Murakami
We prove that oriented and standard shadowing properties are equivalent for topological flows on closed surfaces with the nonwandering set consisting of the finite number of critic…
Oriented and standard shadowing properties for topological flows
Sogo Murakami
We prove that oriented and standard shadowing properties are equivalent for topological flows with finite singularites that are Lyapunov stable or Lyapunov unstable. Moreover, we p…