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Journal Articles International journal of bifurcation and chaos in applied sciences and engineering Year : 2009

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

Hg Schuster
  • Function : Author
M. Le van Quyem
  • Function : Author
J. Kohler
  • Function : Author
J. Mayer
  • Function : Author
Jc Claussen
  • Function : Author

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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Dates and versions

hal-00817563 , version 1 (24-04-2013)

Identifiers

  • HAL Id : hal-00817563 , version 1

Cite

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 , 2009, 19. ⟨hal-00817563⟩
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