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arXiv · 2603.29190

Bi-shadowing of Quasi-semi-hyperbolic Pseudo-orbit

Yan He·Meihua Jin
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Abstract

In this paper, we introduce the concept of quasi-semi hyperbolic pseudo-orbits and prove that quasi-semi hyperbolicity implies quasi hyperbolicity provided the error magnitude are sufficiently small. We also have successively demonstrated that both finite quasi-hyperbolic pseudo-orbits and infinite quasi-semi hyperbolic pseudo-orbits possess the bi-shadowing property, and thus we establish the periodicity.

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Yan He, Meihua Jin. 2026-03-31. Bi-shadowing of Quasi-semi-hyperbolic Pseudo-orbit. https://arxiv.org/abs/2603.29190

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