arXiv subjects

Meihua Jin

Publications and source records attributed to Meihua Jin.

2 recordsLinked to original sources

arXiv2026

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

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.

math.DS↗

arXiv2025

Dynamics near a class of nonhyperbolic fixed points

In this paper, we investigate some dynamical properties near a nonhyperbolic fixed point. Under some conditions on the higher nonlinear terms, we establish a stable manifold theorem and a degenerate Hartman theorem. Furthermore, the finite shadowing property also be discussed.

math.DS↗