[1208.3852v1] Hybrid Automata and ε-Analysis on a Neural Oscillator
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Computer Science > Computational Engineering, Finance, and Science

arXiv:1208.3852v1 (cs)
[Submitted on 19 Aug 2012]

Title:Hybrid Automata and ε-Analysis on a Neural Oscillator

Authors:Alberto Casagrande (University of Trieste), Tommaso Dreossi (University of Udine), Carla Piazza (University of Udine)
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Abstract: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 on approximations via epsilon-semantics, proving how these can be computed in practice.
Comments: In Proceedings HSB 2012, arXiv:1208.3151
Subjects: Computational Engineering, Finance, and Science (cs.CE); Logic in Computer Science (cs.LO); Symbolic Computation (cs.SC)
Cite as: arXiv:1208.3852 [cs.CE]
  (or arXiv:1208.3852v1 [cs.CE] for this version)
  https://doi.org/10.48550/arXiv.1208.3852
Journal reference: EPTCS 92, 2012, pp. 58-72
Related DOI: https://doi.org/10.4204/EPTCS.92.5

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Sun, 19 Aug 2012 16:01:27 UTC (355 KB)
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