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arXiv · 2502.17151

Dynamics near a class of nonhyperbolic fixed points

Meihua Jin·Shihao Meng·Yunhua Zhou
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Abstract

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.

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Meihua Jin, Shihao Meng, Yunhua Zhou. 2025-02-24. Dynamics near a class of nonhyperbolic fixed points. https://arxiv.org/abs/2502.17151

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