New regularity coefficients

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.14232/ejqtde.2022.1.1

L. Barreira, C. Valls

引用次数: 0

Abstract

We give two new characterizations of the notion of Lyapunov regularity in terms of the lower and upper exponential growth rates of the singular values. These characterizations motivate the introduction of new regularity coefficients. In particular, we establish relations between these regularity coefficients and the Lyapunov regularity coefficient. Moreover, we construct explicitly bounded sequences of matrices attaining specific values of the new regularity coefficients.

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新的正则系数

利用奇异值的上指数增长率和下指数增长率，给出了李雅普诺夫正则性的两个新的表征。这些特征促使引入新的正则系数。特别地，我们建立了这些正则系数与李雅普诺夫正则系数之间的关系。此外，我们构造了明确有界的矩阵序列，得到了新的正则系数的特定值。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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