哈密顿系统及辛几何

10531050
2005
A0206.非线性泛函分析
龙以明
重点项目
教授
南开大学
125万元
KAM理论;哈密顿系统;辛几何;闭测地线;广义哈密顿系统
2006-01-01到2009-12-31
  • 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 The Existence of Nontrivial Solutions of Hamiltonian Systems with Lagrangian Boundary Conditions and the L-index Theory 期刊论文 李翀|刘春根|
2 Hamiltonian systems: stable or unstable? 期刊论文 程崇庆|
3 Stability of closed characteristics on compact convex hypersurfaces 会议论文 Wei Wang|龙以明|
4 Morse concavity of closed geodesics. 期刊论文 龙以明|Huagui Duan|
5 Minimal period estimates for brake orbits \\of nonlinear symmetric Hamiltonian systems 期刊论文 刘春根|
6 Multiple closed geodesics on bumpy Finsler n-spheres 期刊论文 Huagui Duan|龙以明|
7 Infinitely many homoclinic solutions for second order Hamiltonian systems 期刊论文 张清业|刘春根|
8 Multiplicity of monotone positive solutions to singular three-point boundary value problems for the one-dimensional $p$-Laplacian equation 期刊论文 田元生|刘春根|
9 Maslov-type index theory for symplectic paths with Lagrangian boundary conditions 期刊论文 刘春根|
10 Connecting orbits of autonomous Lagrangian systems 期刊论文 李霞|程崇庆|
11 Nontrivial solutions of superquadratic Hamiltonian systems with Lagrangian boundary conditions and the $L$-index theory 期刊论文 Liu, Chungen|Li, Chong|
12 The rigidity of reducibility of cocycles on ${m SO}(N,\Bbb R)$ 期刊论文 Hou, Xuanji|You, Jiangong|
13 Local rigidity of reducibility of analytic quasi-periodic cocycles on ${m U}(n)$. 期刊论文 尤建功|Hou, Xuanji|
14 Time-periodic solutions to the one-dimensional wave equation with periodic or anti-periodic boundary conditions. 期刊论文 Yong Li|Shuguan Ji|
15 Degenerate lower-dimensional tori in Hamiltonian systems 期刊论文 Yong Li|Yingfei Yi|Yuecai Han|
16 三阶p-Laplacian方程三点奇异边值问题正解的存在性 期刊论文 田元生|刘春根|
17 Invariant tori in Hamiltonian systems with high order proper degeneracy 期刊论文 Yingfei Yi|Yuecai Han|Yong Li|
18 Multiple closed geodesics on Riemannian 3-spheres 期刊论文 龙以明|Wei Wang|
19 Morse indices of closed geodesics on Katok's 2-spheres. 期刊论文 龙以明|Wei Wang|
20 Nekhoroshev and KAM stabilities in generalized Hamiltonian systems 期刊论文 Yong Li|Yingfei Yi|
21 Variational construction of diffusion orbits in convex Hamiltonian systems with multiple degrees of freedom 期刊论文 程崇庆|严军|
22 Three positive solutions of a three-point singular boundary value problem for a third-order $p$-Laplacian equation 期刊论文 刘春根|田元生|
23 Stability of closed geodesics on Finsler 2-spheres. 期刊论文 Wei Wang|龙以明|
24 Homoclinic orbits of positive definite Lagrangian systems 期刊论文 程崇庆|郑勇|
25 The Calder ó n projection: New definition and applications 期刊论文 朱朝锋|B ． Booß-,|M. Lesch|
26 Existence of $2\pi$-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function 期刊论文 Wenbin Liu|Yong Li|
27 Arnold diffusion in Hamiltonian Systems: a priori unstable case 期刊论文 程崇庆|严军|
28 Index iteration theory for symplectic paths and multiple periodic solution orbits 期刊论文 龙以明|
29 Resonance identity, stability and multiplicity of closed characteristics on compact convex hypersurfaces 期刊论文 Xijun Hu|龙以明|Wei Wang,|
30 Invariant tori of nonlinear Schrödinger equation. 期刊论文 Jin Zhang|李勇|Yixian Gao|
31 The Morse theory and the Maslov-type index theory 期刊论文 刘春根|
32 A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order odes 期刊论文 Kaizhi Wang|李勇|
33 Symmetries and first integrals of differential equations 期刊论文 Jin Zhang|Yong Li|
34 Existence and monotonicity property of minimizers of a nonconvex variational problem with a second-order Lagrangian. 期刊论文 Kaizhi Wang|李勇|
35 KAM tori for higher dimensional beam equations with constant potentials. 期刊论文 尤建功|Geng, Jiansheng|
36 Asymptotically linear Hamiltonian systems with Lagrangian boundary conditions 期刊论文 刘春根|
37 Multiple brake orbits on bounded convex symmetric domains 期刊论文 龙以明|Duanzhi Zhang|Chaofeng Zhu|
38 Diophantine vectors in analytic submanifolds of Euclidean spaces 期刊论文 Cao, Rong-mei|You, Jian-gong|
39 The existence of integrable invariant manifolds of Hamiltonian partial differential equations. 期刊论文 尤建功|Cao, Rongmei|
40 Umbilical torus bifurcations in Hamiltonian systems 期刊论文 Broer, Henk W.|尤建功|Hanßmann, Heinz|
41 Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition 期刊论文 You, Jiangong|Xu, Junxiang|
42 A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces 期刊论文 Geng, Jiansheng|尤建功|
43 Random attractors for stochastic discrete Klein-Gordon-Schrodinger equations. 期刊论文 李勇|Shuguan Ji|Weiping Yan|
44 Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres 期刊论文 Huagui Duan|龙以明|
45 Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations 期刊论文 田元生|刘春根|
46 multiplicity of charactoristics with Lagrangian boundary values on symmetric star-shaped hypersurfaces 期刊论文 Fei Guo|刘春根|
47 Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces 期刊论文 Fei Guo|Chungen Liu|
48 Periodic solutions to one-dimensional wave equation with x-dependent coefficients 期刊论文 Shuguan Ji|Yong Li|
49 Variational methods for the problem of Arnold diffusion 会议论文 程崇庆|
50 Multiplicity and stability of closed geodesics on Finsler 2-spheres 期刊论文 龙以明|
51 A generalized Morse index theorem 会议论文 朱朝锋|
52 Full measure reducibility for generic one-parameter family of quasi-periodic linear systems 期刊论文 Her, Hai-Long|You, Jiangong|
53 The existence of nontrivial solutions of Hamiltonian systems with Lagrangian boundary conditions 期刊论文 李翀|刘春根|
54 The existence of two closed geodesics on every Finsler 2-sphere 期刊论文 Victor Bangert|Yiming Long|
55 Multiple closed geodesics on 3-spheres. 期刊论文 Huagui Duan|龙以明|
56 Maslov $P$-index theory for a symplectic path with applications 期刊论文 刘春根|
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