Dynamics near a class of nonhyperbolic fixed points
Dynamical Systems
2025-02-25 v1
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.
Cite
@article{arxiv.2502.17151,
title = {Dynamics near a class of nonhyperbolic fixed points},
author = {Meihua Jin and Shihao Meng and Yunhua Zhou},
journal= {arXiv preprint arXiv:2502.17151},
year = {2025}
}