2002/11/14 by T. Prager, T Prager, B. Naundorf +3 · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nonlinear Dynamics and Pattern Formation #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1016/s0378-4371(03)00196-1
10 pages, 4 figures, submitted to Physica A
arxiv created 2002/11/14 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.