Hybrid Automata and ε-Analysis on a Neural Oscillator

Alberto Casagrande
(University of Trieste)
Tommaso Dreossi
(University of Udine)
Carla Piazza
(University of Udine)

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.

In Ezio Bartocci and Luca Bortolussi: Proceedings First International Workshop on Hybrid Systems and Biology (HSB 2012), Newcastle Upon Tyne, 3rd September 2012, Electronic Proceedings in Theoretical Computer Science 92, pp. 58–72.
Published: 15th August 2012.

ArXived at: http://dx.doi.org/10.4204/EPTCS.92.5 bibtex PDF
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