Pregled bibliografske jedinice broj: 605130
Lyapunov functions for strong exponential dichotomies
Lyapunov functions for strong exponential dichotomies // Journal of mathematical analysis and applications, 399 (2013), 1; 116-132 doi:10.1016/j.jmaa.2012.10.004 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 605130 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Lyapunov functions for strong exponential dichotomies
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
Izvornik
Journal of mathematical analysis and applications (0022-247X) 399
(2013), 1;
116-132
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
exponential dichotomies ; Lyapunov functions ; robustness
Sažetak
We give a complete characterization of a general type of exponential dichotomies in terms of Lyapunov functions, both for discrete and continuous time. This includes constructing explicitly quadratic Lyapunov functions for each exponential dichotomy. We consider the general cases of nonautonomous dynamics, nonuniform exponential dichotomies and, motivated by ergodic theory, strong exponential dichotomies, in the sense that there exist simultaneously lower and upper contraction and expansion bounds. As a nontrivial application, we establish the persistence of the asymptotic stability of a strong nonuniform exponential dichotomy under sufficiently small linear perturbations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
