首页> 美国政府科技报告 >Linearisation Along Invariant Manifolds and a Generalisation of the Hartman-Grobman Theorems for Degenerate Singularities of Vectorfields in (Rsup 3)

【24h】

Linearisation Along Invariant Manifolds and a Generalisation of the Hartman-Grobman Theorems for Degenerate Singularities of Vectorfields in (Rsup 3)

机译：沿着不变流形的线性化和（Rsup 3）中矢量场退化奇性的Hartman-Grobman定理的推广

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

The purpose of the work is to determine the phase-portrait at a singularity of a vectorfield in (R sup n) when the singularity is non-hyperbolic. The approach the authors propose here shall be to blow-up the singularity and apply linearization theorems along invariant manifolds which are not necessarily normally hyperbolic. A generalization of the Hartman-Grobman theorem in (R sup 3) is given in this note. This result holds for non-hyperbolic singularities and also gives some nice smoothness of the homeomorphisms without requiring non-resonance conditions.

著录项

作者
van Strien, S.;
展开▼
作者单位

展开▼
年度 1987
页码 1-24
总页数 24
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices(Mathematics); Homomorphisms; Topology; Theorems;

机译：矩阵（数学）;同态;拓扑;定理;

相似文献

外文文献
中文文献
专利

1. Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds [J] . Haining Fan Proceedings of the Edinburgh Mathematical Society . 2015,第2期

机译：奇异流形上一类边退化椭圆方程的存在性定理
2. Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds [J] . Hua Chen, Yawei Wei, Bin Zhou Mathematische Nachrichten . 2012,第11a12期

机译：奇异流形上具有奇异势的退化椭圆型方程解的存在性。
3. Reduction theorems for manifolds with degenerate 2-form [J] . Di Terlizzi L, Konderak JJ Journal of Lie theory . 2007,第3期

机译：简并2形式流形的归约定理
4. Invariant Manifolds and Grobman-Hartman Theorem for Equations with Degenerate Operator at the Derivative [C] . Buelent Karasoezen, Irina Konopleva, Boris Loginov International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia . 2003

机译：导数上具有简并算子的方程的不变流形和Grobman-Hartman定理
5. Invariant manifolds, invariant foliations and linearization theorems in Banach spaces. [D] . Tan, Bin. 1998

机译：Banach空间中的不变流形，不变叶面和线性化定理。
6. Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions [O] . Yannick Sire, Susanna Terracini, Stefano Vita 2020

机译：Liouville型定理和定期解决堕落或单数问题的部分I：甚至解决方案
7. Linearization Along Invariant Manifolds and a Generalization of the Hartman-Grobman Theorems for Degenerate Singularities of Vector Fields in R Cubed [R] . Vanstrien, S. 1987

机译：不变流形的线性化及R Cubed向量场退化奇性的Hartman-Grobman定理的推广

Linearisation Along Invariant Manifolds and a Generalisation of the Hartman-Grobman Theorems for Degenerate Singularities of Vectorfields in (Rsup 3)

摘要

著录项

相似文献

相关主题

期刊订阅