Dynamical behavior and control of coupled threshold elements with self-inhibition

H. G. Schuster, M. Le Van Quyen, M. Chavez, J. KÖhler, J. Mayer, J. C. Claussen

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)3119-3128
Number of pages10
JournalInternational Journal of Bifurcation and Chaos
Issue number9
Publication statusPublished - 1 Jan 2009


  • Cellular automata
  • Dead-time
  • Excitable systems
  • Self-inhibition
  • Threshold elements


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