Mathematical Sciences: Topological Classification of Singularities and Nonlinear Problems
Mathematical Sciences: Topological Classification of Singularities and Nonlinear Problems
批准号:
8800824
负责人:
James Damon
金额:
$8.38万
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:
1988-06-15 至 1991-11-30
中文摘要
点击翻译按钮获取中文摘要
英文摘要
A number of fundamental questions about singularities of smooth mappings have been answered by John Mather using ideas proposed by Rene Thom. This Thom-Mather approach solves the problems by reducing them to infinitesimal problems which can be solved algebraically. Unfortunately, this approach cannot be applied to the analogous topological problems. James Damon has been developing a topological analogue of the Thom-Mather approach. This has enabled him to obtain answers to the topological questions in a number of circumstances. Likewise, he has been applying results from singularity theory to obtain results about solutions to nonlinear differential equations. He intends further to develop ideas on topological equivalence in singularity theory, to investigate the use of symbolic computations in addressing these questions, and to explore further the applications of singularity theory to nonlinear differential equations.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Geometry and Topology of Singular Structures with Applications to Computer Imaging
-
批准号:1105470
-
项目类别:Standard Grant
-
资助金额:$11.87万
-
财政年份:2011
-
负责人:James Damon
-
依托单位:
Geometry and Topology of Singular Structures with Applications to Imaging
-
批准号:0706941
-
项目类别:Standard Grant
-
资助金额:$10.51万
-
财政年份:2007
-
负责人:James Damon
-
依托单位:
Singular Structures in Medial and Scale-Based Geometry
-
批准号:0405947
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2004
-
负责人:James Damon
-
依托单位:
Collaborative Research: Hybrid Modeling for Design, Estimation, and Analysis
-
批准号:0310546
-
项目类别:Continuing Grant
-
资助金额:$0.0万
-
财政年份:2003
-
负责人:James Damon
-
依托单位:
Topology of Nonisolated Singularities and Scale-based Geometry
-
批准号:0103862
-
项目类别:Standard Grant
-
资助金额:$8.45万
-
财政年份:2001
-
负责人:James Damon
-
依托单位:
Topology of Nonisolated Singularities and the Geometry of Functions
-
批准号:9803467
-
项目类别:Standard Grant
-
资助金额:$7.93万
-
财政年份:1998
-
负责人:James Damon
-
依托单位:
Mathematical Sciences: Topological Properties of Singularities and Solutions of Nonlinear Equations
-
批准号:9400930
-
项目类别:Continuing Grant
-
资助金额:$12.9万
-
财政年份:1994
-
负责人:James Damon
-
依托单位:
Mathematical Sciences: Topological Properties of Singularities and Nonlinear Problems
-
批准号:9103628
-
项目类别:Continuing Grant
-
资助金额:$10.12万
-
财政年份:1991
-
负责人:James Damon
-
依托单位:
US-UK Cooperative Research: Topological Properties of Bifurcation Problems, Finite Map Germs, and Nonlinear Problems
-
批准号:8814820
-
项目类别:Standard Grant
-
资助金额:$1.03万
-
财政年份:1988
-
负责人:James Damon
-
依托单位:
Mathematical Sciences: Special Year in Singularities and Algebraic Geometry
-
批准号:8506229
-
项目类别:Standard Grant
-
资助金额:$4.5万
-
财政年份:1985
-
负责人:James Damon
-
依托单位:
Mathematical Sciences: Topological Triviality and Versality of Unfoldings
-
批准号:8503766
-
项目类别:Continuing Grant
-
资助金额:$6.18万
-
财政年份:1985
-
负责人:James Damon
-
依托单位:
Topological Triviality of Unfoldings (Mathematics)
-
批准号:8200166
-
项目类别:Continuing Grant
-
资助金额:$4.48万
-
财政年份:1982
-
负责人:James Damon
-
依托单位:
Structure of Topologically Stable Mappings
-
批准号:7801098
-
项目类别:Standard Grant
-
资助金额:$3.96万
-
财政年份:1978
-
负责人:James Damon
-
依托单位:
Topological Properties of Stable Maps
-
批准号:7508272
-
项目类别:Standard Grant
-
资助金额:$1.24万
-
财政年份:1975
-
负责人:James Damon
-
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: