Periodic shadowing of vector fields
Periodic shadowing of vector fields
A vector field has the periodic shadowing propertyif for any $\varepsilon>0$ there is $d>0$ such that, for any periodic $d$-pseudoorbit $g$ there exists a periodic orbit or a singularity in which $g$ is $\varepsilon$-shadowed.In this paper, we show that a vector field is in the $C^1$ interior of the set …