Dynamical Behaviour and Control of Coupled Threshold Networks with Self-Inhibition

Hg Schuster M. Le van Quyem Mario Chavez 1 J. Kohler J. Mayer Jc Claussen
1 NEMESIS-CRICM - Equipe NEMESIS - Centre de Recherches de l'Institut du Cerveau et de la Moelle épinière
CRICM - Centre de Recherche de l'Institut du Cerveau et de la Moelle épinière
Abstract : Coupled threshold elements with self-inhibition display a phase transition to an oscillating state where the elements fire in synchrony with a period T that is of the order of the dead-time caused by self-inhibition. This transition is noise-activated and therefore displays strong collectively enhanced stochastic resonance. For an exponentially decaying distribution of dead-times the transition to the oscillating state occurs, coming from high noise temperatures, via a Hopf bifurcation and coming from low temperatures, via a saddle node bifurcation. The transitions can be triggered externally by noise and oscillating signals. This opens up new possibilities for controlling slow wave sleep.
Keywords : Threshold elements self-inhibition dead-time cellular automata excitable systems
Type de document :
Article dans une revue
International Journal of Bifurcation and Chaos, World Scientific Publishing, 2009, 19
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https://hal.inria.fr/hal-00817563
Contributeur : Olivier Colliot <>
Soumis le : mercredi 24 avril 2013 - 19:32:07
Dernière modification le : mardi 4 décembre 2018 - 01:23:36

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  • HAL Id : hal-00817563, version 1

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Hg Schuster, M. Le van Quyem, Mario Chavez, J. Kohler, J. Mayer, et al.. Dynamical Behaviour and Control of Coupled Threshold Networks with Self-Inhibition. International Journal of Bifurcation and Chaos, World Scientific Publishing, 2009, 19. 〈hal-00817563〉

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