Degenerating the elliptic Schlesinger system

We study various ways of degenerating the Schlesinger system on the elliptic curve with $R$ marked points. We construct a limit procedure based on an infinite shift of the elliptic curve parameter and on shifts of the marked points. We show that using this procedure allows obtaining a nonautonomous Hamiltonian system describing the Toda chain with additional spin $\mathfrak{sl}(N,\mathbb C)$ degrees of freedom.