Lateral inhibition in relaxation oscillators provides a basis for computation

A. Parveena Shamim; Shakti N. Menon; Sitabhra Sinha

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arXiv · 2208.09187

Lateral inhibition in relaxation oscillators provides a basis for computation

A. Parveena Shamim·Shakti N. Menon·Sitabhra Sinha

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Abstract

Coupled relaxation oscillators, realized via chemical or other means, can exhibit a multiplicity of steady states, characterized by spatial patterns resulting from lateral inhibition. We show that perturbation-initiated transformations between these configurations, mapped to binary strings via coarse-graining, provide a basis for computation. The rules governing these transitions emerge from an underlying effective energy landscape shaped by the global and local stabilities of these states. Our results suggest a framework by which far-from-equilibrium systems may encode a computational logic.

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A. Parveena Shamim, Shakti N. Menon, Sitabhra Sinha. 2022-08-19. Lateral inhibition in relaxation oscillators provides a basis for computation. https://arxiv.org/abs/2208.09187

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