On inverse shadowing
Copyright policy )On inverse shadowing
We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stronger than might initially seem. We give some implications of this reformulation, in particular showing that systems with inverse shadowing are not sensitive. Finally we show that, on compact spaces, inverse shadowing is equivalent to a finite version of it.
8 Pages
- University of Salford United Kingdom
- University of Birmingham United Kingdom
Axiom A, Structural stability, Strong transversality condition, FOS: Mathematics, C -transversality condition, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Shadowing property, Inverse shadowing property
Axiom A, Structural stability, Strong transversality condition, FOS: Mathematics, C -transversality condition, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Shadowing property, Inverse shadowing property
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!