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.
Original language | English |
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Pages (from-to) | 3119-3128 |
Number of pages | 10 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 19 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Jan 2009 |
Keywords
- Cellular automata
- Dead-time
- Excitable systems
- Self-inhibition
- Threshold elements