Naslov
Shadowing for nonautonomous dynamics

Autori
Dragičević, Davor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
ICDEA 2018 / - , 2018

Skup
24th International Conference on Difference Equations and Applications

Mjesto i datum
Dresden, Njemačka, 21.05.2018. - 25.05.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
shadowing, nonautonomous dynamics

Sažetak
We prove that whenever a sequence of invertible and bounded operators (Am)m∈Z acting on a Banach space X admits an exponential dichotomy and a sequence of differentiable maps fm : X → X, m ∈ Z, has bounded and H¨older derivatives, the nonautonomous dynamics given by xm+1 = Amxm + fm(xm), m ∈ Z has various shadowing properties. Hence, we extend recent results of Bernardes Jr. et al. in several directions. As a nontrivial application of our results, we give a new proof of the nonautonomous Grobman-Hartman theorem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA