We obtain the phase diagram of a ferromagnetic mixed Ising system, consisting of spin--, and spin-5 variables, on a Bethe lattice of coordination number z, with nearest-neighbor exchange interactions and single-ion terms. The problem is formulated as a discrete nonlinear map. There is a tricritical point for S integer and z~5. In the infinite-coordination-number limit, we regain the results of an exact calculation for a Curie-Weiss version of the model.
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