Lyapunov exponents for linear homogeneous differential equations

Bessa, Mário

http://hdl.handle.net/10400.2/16746

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Authors

Bessa, Mário

Abstract(s)

We consider linear continuous-time cocycles induced by second order linear homogeneous differential equations, where the coefficients evolve along the orbit of a flow defined on a closed manifold M. We are mainly interested in the Lyapunov exponents associated to most of the cocycles chosen when one allows variation of the parameters. The topology used to compare perturbations turn to be crucial to the conclusions.