52 citations · 208 across the 23 of their papers we have counts for
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The index growth and multiplicity of closed geodesics
Huagui Duan, Yiming Long
In the recent paper \cite{LoD1}, we classified closed geodesics on Finsler manifolds into rational and irrational two families, and gave a complete understanding on the index growt…
Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
Huagui Duan, Yiming Long
We prove that for every $\Q$-homological Finsler 3-sphere with a bumpy and irreversible metric , either there exist two non-hyperbolic prime closed geodesics, or there e…
Multiple closed geodesics on bumpy Finsler -spheres
Huagui Duan, Yiming Long
In this paper we prove that for every bumpy Finsler metric on every rationally homological -dimensional sphere with , there exist always at least two distinct…
Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems
Yiming Long
In recent years, we have established the iteration theory of the index for symplectic matrix paths and applied it to periodic solution problems of nonlinear Hamiltonian systems. Th…