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Nontrivial spontaneous synchronization

R. Sumi1,2, Z. Néda1, A. Tunyagi1, Sz. Boda1, and Cs. Szász3

  • 1Faculty of Physics, Babeş-Bolyai University, RO-400084 Cluj, Romania
  • 2E-Austria Research Institute, RO-300223 Timisoara, Romania
  • 3Department of Electrical Engineering, Technical University of Cluj-Napoca, RO-400020 Cluj-Napoca, Romania

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Phys. Rev. E 79, 056205 – Published 6 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.056205

Abstract

The collective behavior of an ensemble of multimode stochastic oscillators is investigated. The oscillators are pulse coupled; they are able to emit pulses and to detect the pulses emitted by the others. As a function of the output intensity in the system they can operate in different modes having different pulsing periods. The system is designed to optimize the output intensity around a fixed f∗ output threshold. In order to do so a simple dynamics is considered. Whenever the total output intensity in the system is lower than f∗, a mode with a higher interpulse period is chosen. If the light intensity in the system is higher than f∗, a mode with a lower interpulse period is selected. As a side effect of this simple optimization rule, for a given f∗ interval a nontrivial synchronization of the oscillators is observed. The synchronization level is studied by computer simulations, investigating the influence of model parameters (number of modes, stochasticity of the oscillators, the f∗ threshold value, and interaction topology). An experimental realization of this system is also considered; an ensemble of electronic oscillators communicating with light pulses was constructed and studied. The experimental system behaves in many ways similar to the theoretically considered multimode stochastic oscillator ensemble.

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Phys. Rev. E 79, 056205– Published 6 May, 2009
  • Received 14 January 2009

© 2009 American Physical Society

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