On the discontinuity of lyapunov exponents of an almost periodic linear differential system affinely depending on a parameter
А. В. Липницкий · Differential Equations · 2008
We construct a linear differential system $$ \dot x $$ = (A(t) + μB(t))x, x ∈ ℝ2, t ≥ 0, with almost periodic coefficients which is almost reducible for all μ ∈ ℝ except for an at most countable set and whose singular and higher characteristic exponents treated as functions of the parameter μ are discontinuous at some point.