Synchronization of multi-mode pulse coupled stochastic oscillators

It is known that an ensemble of two-mode pulse-emitting stochastic oscillators globally coupled through their collective output will synchronize for some controllable parameter values. These oscillators proved to be appropriate for modeling the dynamics of rhythmic applause or several other synchronization phenomena in biological systems. Within this work we generalize this two-mode oscillator model to the case of several modes and investigate the effect on their synchronization. Computer simulation proves that synchronization appears for several modes as well and the system undergoes a phase transition-like phenomena while changing a controllable parameter. However, if the number of modes is increased synchronization will be present for smaller and smaller parameter range.

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