Homoclinic Orbits and Entropy for Three-Dimensional Flows

被引：0

作者：

A. M. Lopez

R. J. Metzger

C. A. Morales

机构：

[1] Universidade Federal Rural Do Rio de Janeiro,Instituto de Ciencias Exatas (ICE)

[2] Universidad Nacional de Ingeniería,Instituto de Matemática Y Ciencias Afines (IMCA)

[3] Universidade Federal Do Rio de Janeiro,Instituto de Matemática

来源：

Journal of Dynamics and Differential Equations | 2018年 / 30卷

关键词：

Hyperbolic ergodic measure; Lyapunov exponents; Flow; Primary 37D25; Secondary 37C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that every C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^1$$\end{document} three-dimensional flow with positive topological entropy can be C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^1$$\end{document} approximated by flows with homoclinic orbits.

引用

页码：799 / 805

页数：6

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