哈密顿动力系统周期轨道的多重性与稳定性研究

11671215
2016
A0303.动力系统与遍历论
段华贵
面上项目
教授
南开大学
48万元
Maslov型指标;线性稳定性;哈密顿系统;N-体问题;周期解
2017-01-01到2020-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 天津市数学会青年学术奖一等奖 奖励 段华贵
2 Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in R-2n 期刊论文 Huagui Duan;Hui Liu
3 Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability 期刊论文 Yiming Long;Yuchen Wang;Chongchun Zeng
4 Solutions of the Generalized Lennard-Jones System 期刊论文 Bowen Liu;Yiming Long;Chongchun Zeng
5 第十三届华罗庚数学奖 奖励 龙以明
6 On bifurcation of eigenvalues along convex symplectic paths 期刊论文 Yinshan Chang;Yiming Long;Jian Wang
7 Index iteration theories for periodic orbits: Old and new 期刊论文 Huagui Duan;Yiming Long;Chaofeng Zhu
8 Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in a"e(2n) 期刊论文 Huagui Duan;Hui Liu;Yiming Long;Wei Wang
9 Existence of Prograde Double-Double Orbits in the Equal-Mass Four-Body Problem 期刊论文 Wentian Kuang;Duokui Yan
10 Maslov-Type Indices and Linear Stability of Elliptic Euler Solutions of the Three-Body Problem 期刊论文 Qinglong Zhou;Yiming Long
11 The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form 期刊论文 Hui Liu;Yiming Long;Yuming Xiao
12 Homographic Solutions of the N-body Generalized Lennard-Jones System 期刊论文 Bowen Liu
13 A new index theory for GL+(2)-paths with applications to asymptotically linear systems 期刊论文 Sai Liu;Yiming Long
14 Linear stability of the elliptic relative equilibrium with (1+n)-gon central configurations in planar n-body problem 期刊论文 Xijun Hu;Yiming Long;Yuwei Ou
15 南开大学智德杰出贡献奖、文中杰出贡献奖 奖励 龙以明
16 Hill-type formula for Hamiltonian system with Lagrangian boundary conditions 期刊论文 Xijun Hu;Yuwei Ou;Penghui Wang
17 The reduction of the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems 期刊论文 Qinglong Zhou;Yiming Long
18 Linear stability of elliptic relative equilibria of restricted four -body problem 期刊论文 Bowen Liu;Qinglong Zhou
19 Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in 期刊论文 Hui Liu;Yiming Long
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