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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
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https://hal.inria.fr/hal-00817563
Contributor : Olivier Colliot <>
Submitted on : Wednesday, April 24, 2013 - 7:32:07 PM
Last modification on : Tuesday, November 5, 2019 - 3:26:11 PM

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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 in applied sciences and engineering , World Scientific Publishing, 2009, 19. ⟨hal-00817563⟩

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