【11131004】Hamilton系统周期运动轨道的研究国家自然基金项目

Hamilton系统周期运动轨道的研究

项目批准号： 11131004

批准年份： 2011

学科分类： A0301.常微分方程

项目负责人：龙以明

资助类别：重点项目

负责人职称：教授

依托单位：南开大学

资助金额： 200万元

关键词：三体问题;周期轨道;多重性与稳定性;哈密顿系统;闭测地线

起止时间： 2012-01-01到2016-12-31

中英文摘要
结题摘要
结题报告
项目成果
项目参与人

查看更多信息请先登录或注册

序号	标题	类型	作者
1	The Existence of Two Closed Characteristics on Every Compact Star-shaped Hypersurface in R-4	期刊论文	刘会\|龙以明\|
2	Lie bialgebra structure on cyclic cohomology of Fukaya categories	期刊论文	Chen, Xiaojun\|Her, Hai-Long\|孙善忠\|
3	Stability of closed characteristics on compact convex hypersurfaces in R2n	期刊论文	胡锡俊\|欧昱伟\|
4	Non-hyperbolic closed geodesics on positively curved Finsler spheres	期刊论文	段华贵\|
5	Linear Stability of Elliptic Lagrangian Solutions of the Planar Three-Body Problem via Index Theory	期刊论文	胡锡俊\|龙以明\|孙善忠\|
6	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	周青龙\|龙以明\|
7	Periodic Solutions for the Generalized Anisotropic Lennard-Jones Hamiltonian	期刊论文	Llibre, Jaume\|龙以明\|
8	Trace Formula for Linear Hamiltonian Systems with its Applications to Elliptic Lagrangian Solutions	期刊论文	胡锡俊\|欧昱伟\|Wang, Penghui\|
9	Stability analysis for standing pulse solutions to FitzHugh-Nagumo equations	期刊论文	Chen, Chao-Nien\|胡锡俊\|
10	Geometric characterizations for variational minimizing solutions of charged 3-body problems	期刊论文	Kuang, Wentian\|龙以明\|
11	Non-hyperbolic Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R-2n	期刊论文	刘会\|龙以明\|Wang, Wei\|
12	Two closed geodesics on compact simply-connected bumpy Finsler manifolds	期刊论文	段华贵\|龙以明\|Wang Wei\|
13	Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions	期刊论文	肖玉明\|龙以明\|
14	Multiple P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in R-2n	期刊论文	刘会\|
15	omega-Index Theory and Linear Stability of Elliptic Lagrangian Solutions of the Classical Three-Body Problem	期刊论文	龙以明\|
16	太阳系的稳定性：历史与现状	期刊论文	龙以明\|孙善忠\|
17	Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications	期刊论文	刘会\|龙以明\|
18	A double Poisson algebra structure on Fukaya categories	期刊论文	Chen, Xiaojun\|Her, Hai-Long\|孙善忠\|Yang, Xiangdong\|
19	The planar Orlicz Minkowski problem in the L1-sense	期刊论文	Su Yijing\|龙以明\|
20	Collision Index and Stability of Elliptic Relative Equilibria in Planar n-body Problem	期刊论文	胡锡俊\|欧昱伟\|
21	Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces	期刊论文	刘会\|龙以明\|
22	Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems	期刊论文	周青龙\|龙以明\|
23	何梁何利基金科学与技术进步奖	奖励	龙以明\|
24	An estimation for the hyperbolic region of elliptic Lagrangian solutions in the planar three-body problem	期刊论文	胡锡俊\|欧昱伟\|
25	Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions	期刊论文	胡锡俊\|Wang, Penghui\|
26	Two closed geodesics on with a bumpy Finsler metric	期刊论文	段华贵\|龙以明\|肖玉明\|
27	Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in $R^4$	期刊论文	刘会\|龙以明\|
28	A new class of problems in the calculus of variations	期刊论文	Ivar Ekeland\|龙以明\|周青龙\|
29	Conditional Fredholm determinant and trace formula for Hamiltonian systems: a survey. Emerging topics on differential equations and their applications	期刊论文	胡锡俊\|Wang Penghui\|
30	Open Problem 2: Questions on the Stability Problem of Periodic Solutions in the N-Body Problem	期刊论文	龙以明\|
31	Resonance identities for closed characteristics on compact star-shaped hypersurfaces in R-2n	期刊论文	刘会\|龙以明\|Wang, Wei\|
32	The irrational ratio of average indices of closed geodesics on positively curved Finsler spheres	期刊论文	段华贵\|刘会\|
33	Two elliptic closed geodesics on positively curved Finsler spheres	期刊论文	段华贵\|
34	Closed Geodesics on Positively Curved Finsler 3-Spheres	期刊论文	段华贵\|刘会\|
35	Symmetric closed characteristics on symmetric compact convex hypersurfaces in R8	期刊论文	刘会\|龙以明\|Wei Wang\|Pingan Zhang\|
36	The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds	期刊论文	段华贵\|龙以明\|Wang Wei\|
37	Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in $R^{2n}$	期刊论文	段华贵\|刘会\|龙以明\|Wang Wei\|
38	Hyperbolicity of elliptic Lagrangian orbits in the planar three body problem	期刊论文	欧昱伟\|
39	Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics	期刊论文	段华贵\|刘会\|
40	Hill-type formula and krein-type trace formula for s-periodic solutions in odes	期刊论文	胡锡俊\|Wang, Penghui\|

查看更多信息请先登录或注册

再问科研

相关项目

趋势报告

经验分享