Abstract
The authors investigate to what extent the dynamical behaviour of nets consisting of three-state neurons can be realised in nets using two-state neurons. They find that the generalisation from a two-state neuron to a three-state neuron cannot introduce any new behaviour in the deterministic case, but can do so for noisy nets, even in the zero-noise limit. For those noisy three-state nets which have a Hamiltonian description and a two-state representation they investigate the relationship between the three-state Hamiltonian and the two-state Hamiltonian, and find an interesting level-splitting phenomenon.
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