Coupled three-state oscillators

Details Coupled three-state oscillators Coupled three-state oscillators

2002-11-14

arxiv.org/abs/cond-mat/0211285v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures, submitted to Physica A

Scientific paper

10.1016/S0378-4371(03)00196-1

We investigate globally coupled stochastic three-state oscillators, which we consider as general models of stochastic excitable systems. We compare two situations:in the first case the transitions between the three states of each unit 1->2->3->1 are determined by Poissonian waiting time distributions. In the second case only transition 1->2 is Poissonian whereas the others are deterministic with a fixed delay. When coupled the second system shows coherent oscillations whereas the first remains in a stable stationary state. We show that the coherent oscillations are due to a Hopf-bifurcation in the dynamics of the occupation probabilities of the discrete states and discuss the bifurcation diagram.

Affiliated with

Also associated with

No associations

Rating

Coupled three-state oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coupled three-state oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled three-state oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473426