Structure of the semicontinuity sets of the Lyapunov exponents of linear differential systems continuously depending on a parameter
M. V. Karpuk · Differential Equations · 2015
For an arbitrary n ∈ N , consider a family of n -dimensional linear differential systems continuously depending on a parameter that belongs to a complete metric space. For each i = 1,..., n , we completely describe the set of points of lower semicontinuity and the set of points of upper semicontinuity of the i th Lyapunov exponent treated as a function of the parameter.