Mathematical Sciences: Ordered and Chaotic Motions in Hamiltonian Systems
Mathematical Sciences: Ordered and Chaotic Motions in Hamiltonian Systems
批准号:
8802118
负责人:
Clarence Wayne
金额:
$4.39万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1988
资助国家:
美国
项目状态:
已结题
起止时间:
1988-07-01 至 1990-12-31
中文摘要
本项目致力于研究规则和混沌 近可积无穷维哈密顿量中的运动 系统. 这样的系统包括某些非线性部分 微分方程,波动和振动梁方程, instance. 统计力学与凝聚态物理 也导致了这些系统。 该方法包括扩展KAM理论, 完全可积Hamilton系统的扰动 结合变分法的常用方法, 分叉分析,KAM理论将揭示新的光 周期解和拟周期解的存在性。 此外,本发明还提供了一种方法, 将采用几何和数值方法。
英文摘要
This project is devoted to the study of regular and chaotic motion in nearly integrable infinite dimensional hamiltonian systems. Such systems include certain nonlinear partial differential equations, the wave and vibrating beam equations for instance. Statistical mechanics and condensed matter physics also lead to these systems. The approach consists of extending KAM theory to perturbations of completely integrable hamiltonian systems. Together with the usual methods of the calculus of variation and bifurcation analysis, KAM theory will shed new light on the existence of periodic and quasiperiodic solutions. In addition, geometric and numerical methods will be employed.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Dynamical Systems Methods for Fluid Mechanics and Hamiltonian Mechanics
-
批准号:1813384
-
项目类别:Standard Grant
-
资助金额:$25.55万
-
财政年份:2018
-
负责人:Clarence Wayne
-
依托单位:
Dynamical Systems Methods for Partial Differential Equations
-
批准号:1311553
-
项目类别:Continuing Grant
-
资助金额:$59.95万
-
财政年份:2013
-
负责人:Clarence Wayne
-
依托单位:
Infinite Dimensional Dynamical Systems and Partial Differential Equations
-
批准号:0908093
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2009
-
负责人:Clarence Wayne
-
依托单位:
Special meeting: Dynamical systems and evolution equations, CRM
-
批准号:0803140
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2008
-
负责人:Clarence Wayne
-
依托单位:
Workshop on Mathematical Hydrodynamics at the Steklov Institute; Moscow, Russia; June 12-17, 2006
-
批准号:0543432
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2005
-
负责人:Clarence Wayne
-
依托单位:
Dynamical Systems Approaches to Partial Differential Equations
-
批准号:0103915
-
项目类别:Continuing grant
-
资助金额:$0.0万
-
财政年份:2001
-
负责人:Clarence Wayne
-
依托单位:
Dynamical Systems with Infinitely Many Degrees of Freedom in Mathematical Physics
-
批准号:9896208
-
项目类别:Continuing Grant
-
资助金额:$1.53万
-
财政年份:1997
-
负责人:Clarence Wayne
-
依托单位:
Dynamical Systems with Infinitely Many Degrees of Freedom in Mathematical Physics
-
批准号:9501226
-
项目类别:Continuing Grant
-
资助金额:$9.0万
-
财政年份:1995
-
负责人:Clarence Wayne
-
依托单位:
Mathematical Sciences: Dynamical Systems with Infinitely Many Degrees of Freedom in Mathematical Physics
-
批准号:9203359
-
项目类别:Continuing Grant
-
资助金额:$7.5万
-
财政年份:1992
-
负责人:Clarence Wayne
-
依托单位:
Mathematical Sciences: Dynamical Systems with Infinitely Many Degrees of Freedom in Mathematical Physics
-
批准号:9002059
-
项目类别:Standard Grant
-
资助金额:$4.96万
-
财政年份:1990
-
负责人:Clarence Wayne
-
依托单位:
Mathematical Sciences: Bounds on Hamiltonian Systems with Many Degrees of Freedom
-
批准号:8602001
-
项目类别:Standard Grant
-
资助金额:$3.32万
-
财政年份:1986
-
负责人:Clarence Wayne
-
依托单位:
Mathematical Sciences: Bounds on Hamiltonian Systems with Many Degrees of Freedom
-
批准号:8403664
-
项目类别:Continuing Grant
-
资助金额:$2.71万
-
财政年份:1984
-
负责人:Clarence Wayne
-
依托单位:
国内基金
海外基金
登录
查看更多内容
Handbook of the Mathematics of the Arts and Sciences的中文翻译
-
批准号:12226504
-
项目类别:数学天元基金项目
-
资助金额:20.0万元
-
批准年份:2022
-
负责人:黄朝凌
-
依托单位:
SCIENCE CHINA: Earth Sciences
-
批准号:41224003
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:魏建晶
-
依托单位:
Journal of Environmental Sciences
-
批准号:21224005
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Information Sciences
-
批准号:61224002
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:宋扉
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51224001
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:安梅
-
依托单位:
SCIENCE CHINA Life Sciences (中国科学 生命科学)
-
批准号:81024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:李纪元
-
依托单位:
Journal of Environmental Sciences
-
批准号:21024806
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Earth Sciences(中国科学:地球科学)
-
批准号:41024801
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:魏建晶
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:安梅
-
依托单位: