4 research outputs found
Shadowing, transitivity and a variation of omega-chaos
We study a special type of shadowing (DSP) of chain transitive continuous
self-maps of compact Hausdorff spaces. We prove some basic properties of DSP.
As application of DSP, we obtain sufficient conditions for a statistical
variant of -chaos and prove the topological genericity of it. We also
consider topological distribution of irregular points under the assumption of
DSP.Comment: 46 page