Invertible Contractions and Asymptotically Stable ODE’S that are not \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{C}^{1}$$\end{document}-Linearizable

被引：0
作者：
Hildebrando M. Rodrigues
J. Solà-Morales
机构：
[1] Universidade de São Paulo,Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação
[2] Universitat Politècnica de Catalunya,Departament de Matemàtica Aplicada 1
来源：
Journal of Dynamics and Differential Equations | 2006年 / 18卷 / 4期
关键词：
linearization; conjugacy; contraction; PRIMARY: 37L10; PRIMARY: 34G20; SECONDARY: 35B40; SECONDARY: 37C15;
D O I：
10.1007/s10884-006-9050-1
中图分类号：
学科分类号：
摘要：
We present an example of a contraction diffeomorphism in infinite dimensions that is not \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}^{1}$$\end{document}-linearizable, and we construct a regular ordinary differential equation in a Hilbert space whose time-one map is that diffeomorphism. With this we have an example of an asymptotically stable ODE that is not \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}^{1}$$\end{document}-conjugate to its linear part.
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页码：961 / 974
页数：13
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