Nonuniform contractions and converse stability results via a smooth topological equivalence

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2023-01-22 DOI:10.1080/14689367.2022.2163881

Álvaro Castañeda, Pablo Monzón, G. Robledo

引用次数: 0

Abstract

Given a nonautonomous linear system of ordinary differential equations with nonuniform contractions on the half line, we study the smoothness and preserving orientation properties of a global linearization between this system and a family of nonlinear perturbations. As an application of the previous study, we improve a converse stability result for the nonlinear system in terms of density functions.

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通过光滑拓扑等价得到非一致收缩和逆稳定性结果

给定一个半直线上具有非均匀收缩的非自治常微分方程线性系统，我们研究了该系统与一组非线性扰动之间的全局线性化的光滑性和保定向性质。作为先前研究的一个应用，我们用密度函数改进了非线性系统的逆稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences