New regularity coefficients

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 coe...

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Bibliographic Details
Main Authors: Barreira Luis
Valls Claudia
Format: Serial
Published: 2022
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Ljapunov szabályosság, Szabályossági együtthatók
Subjects:
doi:10.14232/ejqtde.2022.1.1

Online Access:http://acta.bibl.u-szeged.hu/75816
Description
Summary: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.
Physical Description:25
ISSN:1417-3875