Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations

Amaro, Dinis; Bessa, Mário; Vilarinho, Helder

http://hdl.handle.net/10400.2/16744

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Authors

Amaro, Dinis

Bessa, Mário

Vilarinho, Helder

Abstract(s)

We consider a probability space M on which an ergodic flow is defined. We study a family of continuous-time linear cocycles, referred to as kinetic, that are associated with solutions of the second-order linear homogeneous differential equation . Our main result states that for a generic subset of kinetic continuous-time linear cocycles, where generic means a Baire second category with respect to an -like topology on the infinitesimal generator, the Lyapunov spectrum is trivial.