2 citations · 4 across the 5 of their papers we have counts for
5 papers
The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler
Hui Liu, Jian Wang, Jingzhi Yan
In this article, we give a growth rate about the number of periodic orbits in the Franks type theorem obtained by the authors \cite{LWY}. As applications, we prove the following tw…
Refinements of Franks' theorem and applications in Reeb dynamics
Hui Liu, Jian Wang, Jingzhi Yan
In this article, we give two refinements of Franks' theorem: For orientation and area preserving homeomorphisms of the closed or open annulus, the existence of -periodic orbits…
Second order asymptotics for Krein indefinite multipliers with multiplicity two
Yinshan Chang, Jingzhi Yan
We consider linear Hamiltonian equations in of the following type \begin{equation} \frac{\mathrm{d}γ}{\mathrm{d}t}(t)=J_{4}A(t)γ(t), γ(0)\in\operatorname{Sp}(4,\ma…
Existence of periodic points near an isolated fixed point with Lefschetz index and zero rotation for area preserving surface homeomorphisms
Jingzhi Yan
Let be an orientation and area preserving diffeomorphism of an oriented surface with an isolated degenerate fixed point with Lefschetz index one. Le Roux conjectured…
Existence of torsion-low maximal identity isotopies for area preserving surface homeomorphisms
Jingzhi Yan
The paper concerns area preserving homeomorphisms of surfaces that are isotopic to the identity. The purpose of the paper is to find a maximal identity isotopy such that we can giv…