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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Barreira Luis
Valls Claudia
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Ljapunov szabályosság, Szabályossági együtthatók
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.1

Online Access:http://acta.bibl.u-szeged.hu/75816
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:25
ISSN:1417-3875