Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters

Amaro, Dinis; Bessa, Mário; Vilarinho, Helder

http://hdl.handle.net/10400.2/16745

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Autores

Amaro, Dinis

Bessa, Mário

Vilarinho, Helder

Resumo(s)

In the present paper we prove that densely, with respect to an Lp-like topology, the Lyapunov exponents associated to linear continuous-time cocycles induced by second order linear homogeneous differential equations are almost everywhere distinct. The coefficients evolve along the orbit for an ergodic flow defined on a probability space. We also obtain the corresponding version for the frictionless equation and for a Schrödinger equation.