Pseudo-orbit shadowing in the $C^1$ topology
Flavio Abdenur Lorenzo J. Díaz
We prove that the shadowing property does not hold for diffeomorphisms in an open and dense subset of the set of $C^1$-robustly non-hyperbolic transitive diffeomorphisms (i.e., diffeomorphisms with a $C^1$-neighborhood consisting of non-hyperbolic transitive diffeomorphisms).
keywords: Heterodimensional cycle Periodic point Transitivity. Index Pseudo-orbit Shadowing Homoclinic class

Year of publication

Related Authors

Related Keywords

[Back to Top]