Positive top Lyapunov exponent via invariant cones : single trajectories (CROSBI ID 209512)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
engleski
Positive top Lyapunov exponent via invariant cones : single trajectories
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.
Invariant cones ; Lyapunov exponents ; single trajectories.
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Podaci o izdanju
423 (1)
2015.
480-496
objavljeno
0022-247X
1096-0813
10.1016/j.jmaa.2014.10.008