Hybrid Automata and ε-Analysis on a Neural Oscillator

Alberto Casagrande, Tommaso Dreossi, Carla Piazza
<span title="2012-08-15">2012</span> <i title="Open Publishing Association"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qzezkwolyvf33pglm2jldjklca" style="color: black;">Electronic Proceedings in Theoretical Computer Science</a> </i> &nbsp;
In this paper we propose a hybrid model of a neural oscillator, obtained by partially discretizing a well-known continuous model. Our construction points out that in this case the standard techniques, based on replacing sigmoids with step functions, is not satisfactory. Then, we study the hybrid model through both symbolic methods and approximation techniques. This last analysis, in particular, allows us to show the differences between the considered approximation approaches. Finally, we focus
more &raquo; ... n approximations via epsilon-semantics, proving how these can be computed in practice.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4204/eptcs.92.5">doi:10.4204/eptcs.92.5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q2pjw65trnfrzlc3xgy2jq4fha">fatcat:q2pjw65trnfrzlc3xgy2jq4fha</a> </span>
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