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

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.
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Submitted on : Wednesday, April 24, 2013 - 7:32:07 PM
Last modification on : Sunday, June 26, 2022 - 9:40:03 AM


  • HAL Id : hal-00817563, version 1


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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