Structure of the Semicontinuity Sets of the Lyapunov Exponents of Linear Differential Systems Continuously Depending on a Parameter

摘要

For an arbitrary n is an element of 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 ith Lyapunov exponent treated as a function of the parameter.