Lyapunov type characterization of hyperbolic behavior (CROSBI ID 238999)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
engleski
Lyapunov type characterization of hyperbolic behavior
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.
hyperbolic behavior, Lyapunov functions, robustness
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Podaci o izdanju
263 (5)
2017.
3147-3173
objavljeno
0022-0396
10.1016/j.jde.2017.04.041