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arXiv · 2601.06523

Shadowing, chain transitive sets with nonempty interior and attractor boundaries

Noriaki Kawaguchi
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Abstract

We examine certain phenomena in $C^1$-dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor boundaries from the same viewpoint and derive several additional results.

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Noriaki Kawaguchi. 2026-01-10. Shadowing, chain transitive sets with nonempty interior and attractor boundaries. https://arxiv.org/abs/2601.06523

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