3 papers
math.DS2022
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…
math.DS2022
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…
math.DS2019
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…