Robust competitive networks

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Abstract
In the search for networks that implement the winner-take-all function dynamically in a robust way, we study in this paper a class of models that includes short-range diffusive interactions. The analysis is based on a combination of numerical simulations and analytic results obtained by the application of field-theoretical methods. An examination of the ground-state properties reveals that the implementation of robust competition in dimensions higher than one requires a nonstandard diffusive interaction of at least fourth order.

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