Pregled bibliografske jedinice broj: 718698
Positive top Lyapunov exponent via invariant cones : single trajectories
Positive top Lyapunov exponent via invariant cones : single trajectories // Journal of mathematical analysis and applications, 423 (2015), 1; 480-496 doi:10.1016/j.jmaa.2014.10.008 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 718698 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Positive top Lyapunov exponent via invariant cones : single trajectories
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
Izvornik
Journal of mathematical analysis and applications (0022-247X) 423
(2015), 1;
480-496
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Invariant cones ; Lyapunov exponents ; single trajectories.
Sažetak
We establish criteria for the positivity of the top Lyapunov exponent of a nonautonomous dynamics in terms of invariant cone families, both for maps and flows. The families of cones are associated to quadratic forms of type $(k, p-k)$ with $k$ arbitrary. Our work can be seen as a counterpart of results in the context of ergodic theory, where the positivity of the top Lyapunov exponent is obtained for almost all trajectories although saying nothing about each specific trajectory.
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
