In the present work we study the deterministic spin dynamics of two interacting anisotropic
magnetic particles in the presence of an external magnetic field using the Landau-Lifshitz
equation. The interaction between particles is through the exchange energy. We study both
conservative and dissipative cases. In the first one, we characterize the dynamical behavior
of the system by monitoring the Lyapunov exponents and bifurcation diagrams. In particular,
we explore the dependence of the largest Lyapunov exponent respect to the magnitude of …