  We study a chain of coupled nanomagnets in a classical approximation. We show
that the infinitely long chain of coupled nanomagnets can be equivalently
mapped onto an effective one-dimensional Hamiltonian with a fictitious
time-dependent perturbation. We establish a connection between the dynamical
characteristics of the classical system and spin correlation time. The decay
rate for the spin correlation functions turns out to depend logarithmically on
the maximal Lyapunov exponent. Furthermore, we discuss the non-trivial role of
the exchange anisotropy within the chain.
