Coupled three-state oscillators

T Prager, B Naundorf and L Schimansky-Geier

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 1, 176-185

Abstract: 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.

Keywords: Stochastic oscillators; Synchronization; Delayed differential equation (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:325:y:2003:i:1:p:176-185

DOI: 10.1016/S0378-4371(03)00196-1

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