Mechanical Systems on the 2-Torus Extension of Results of Dias Carneiro and Applications to Arnold D

来源 :International Conference on Variational Methods (ICVAM-2)(20 | 被引量 : 0次 | 上传用户：wyc319

【摘要】

：

　　I will discuss properties of action-minimizing measures for autonomous Lagrangian systems on the 2-torus of the form kinetic energy plus potential energy.Th

【作者】

：

John N.Mather

【机构】

：

DepartmentofMathematicsPrincetonUniversityFineHall,WashingtonRoadPrincetonNJ08544-1000USA

【出处】

：

International Conference on Variational Methods (ICVAM-2)(20

【发表日期】

：

2009年5期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　I will discuss properties of action-minimizing measures for autonomous Lagrangian systems on the 2-torus of the form kinetic energy plus potential energy.The results that I will discuss extend results previously obtained by Dias Carneiro.They are a small part of my proof of the existence of Arnold diffusion in Two and a Half and Three Degrees of Freedom.

其他文献

Turing patterns and standing waves of FitzHugh-Nagumo type systems

　　There are many interesting patterns observed in activator-inhibitor systems,in which the flow in general may not be order-preserving.A well-known model is F

会议

Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Applica- tion to Figure

　　Using the Maslov index theory in symplectic geometry,we build up some stability criteria for symmetric periodic orbits in a Hamiltonian system,which is moti

会议

Resonance and Landesman-Lazer condition for some Fully Nonlinear Elliptic Equations

　　In this talk we consider the Dirichlet boundary value problem F(D2u,Du,u,x) + λu = f(x,u) in Ω,u = 0 on (e)Ω,(1) where λ ∈ R,Ω(∈)RN is a regular boun

会议

Variational problems with linear growth in dimension 1

会议

Entire Solutions of the Allen-Cahn equation and Complete Embedded Minimal Surfaces of Finite Total C

　　We consider minimal surfaces M which are complete,embedded and have finite total curvature in R3,and bounded,entire solutions with finite Morse index of the

会议

Global bifurcation results for a nonlinear Schr(o)dinger system

　　We report recent work on bifurcation structure for a nonlinear system of Schr(o)dinger type equations,giving multiplicity results of positive bound state so

会议

Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and

　　This is a joint work with professor Chungen Liu.In this paper,we establish the Bott-type iteration formulas and some abstract precise iteration formulas of

会议

Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-E

会议

Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total C

会议

Free boundary problems of the Euler equation local well-posedness and hydrodynamical instabilities

　　We consider the evolution of fluid-vacuum surfaces and fluid-fluid interfaces,which may involve vorticity,gravity,or surface tension.The evolution of these

会议

Mechanical Systems on the 2-Torus Extension of Results of Dias Carneiro and Applications to Arnold D

其他学术论文