Reachable sets of a Lame type dynamical system

By a version of the boundary control method (Belishev, 1986), a Riemannian manifold is
recovered via its dynamical boundary inverse data, which correspond to the scalar wave
equation, with the help of the virtual sources. We extend this version to the dynamical
vector Lam´e-type system. Such an extension is based on studying the structure of the
reachable sets. The prospective goal of our study is to solve the inverse problem of recovering
parameters of the Lam´e system from the dynamical boundary data.