52 citations · 208 across the 23 of their papers we have counts for
23 papers
Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond
Huagui Duan, Hui Liu, Yiming Long +1
In this paper, we first generalize the common index jump theorem of Long-Zhu in 2002 and Duan-Long-Wang in 2016 to the case where the mean indices of symplectic paths are not requi…
Linear stability of the elliptic relative equilibrium with -gon central configurations in planar -body problem
Xijun Hu, Yiming Long, Yuwei Ou
We study the linear stability of -gon elliptic relative equilibrium (ERE for short), that is the Kepler homographic solution with the -gon central configurations. We…
Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability
Yiming Long, Yuchen Wang, Chongchun Zeng
We consider concentrated vorticities for the Euler equation on a smooth domain in the form of \[ ω= \sum_{j=1}^N ω_j χ_{Ω_j}, \quad |Ω_j| = πr_j^2, \quad \i…
On bifurcation of eigenvalues along convex symplectic paths
Yinshan Chang, Yiming Long, Jian Wang
We consider a continuously differentiable curve in the space of real symplectic matrices, which is the solution of the following ODE: $\frac{\mathrm{d…
The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form
Hui Liu, Yiming Long, Yuming Xiao
Let and be a nontrivial element of finite order in , where the integer , is a finite group which acts freely and isometrically on the -sph…
The reduction on the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems
Qinglong Zhou, Yiming Long
In this paper, we consider the elliptic collinear solutions of the classical -body problem, where the bodies always stay on a straight line, and each of them moves on its ow…