Pregled bibliografske jedinice broj: 874830
Lyapunov type characterization of hyperbolic behavior
Lyapunov type characterization of hyperbolic behavior // Journal of differential equations, 263 (2017), 5; 3147-3173 doi:10.1016/j.jde.2017.04.041 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 874830 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Lyapunov type characterization of hyperbolic behavior
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
Izvornik
Journal of differential equations (0022-0396) 263
(2017), 5;
3147-3173
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
hyperbolic behavior, Lyapunov functions, robustness
Sažetak
We give a complete characterization of the uniform hyperbolicity and nonuniform hyperbolicity of a cocycle with values in the space of bounded linear operators acting on a Hilbert space in terms of the existence of appropriate quadratic forms. Our work unifies and extends many results in the literature by considering the general case of not necessarily invertible cocycles acting on a Hilbert space over an arbitrary invertible dynamics. As a nontrivial application of, we study the persistence of hyperbolicity under small linear perturbations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
