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Synchronization of phase oscillators with coupling mediated by a diffusing substance

Author

Listed:
  • Batista, C.A.S.
  • Szezech, J.D.
  • Batista, A.M.
  • Macau, E.E.N.
  • Viana, R.L.

Abstract

We investigate the transition to phase and frequency synchronization in a one-dimensional chain of phase oscillator “cells” where the coupling is mediated by the local concentration of a chemical which can diffuse in the inter-oscillator medium and it is both secreted and absorbed by the oscillator “cells”, influencing their dynamical behavior. This coupling has the advantage of having a tunable parameter which makes it possible to pass continuously from a global (all-to-all) to a local (nearest-neighbor) coupling form. We have verified that synchronous behavior depends on the coupling strength and coupling length.

Suggested Citation

  • Batista, C.A.S. & Szezech, J.D. & Batista, A.M. & Macau, E.E.N. & Viana, R.L., 2017. "Synchronization of phase oscillators with coupling mediated by a diffusing substance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 236-248.
    • Handle: RePEc:eee:phsmap:v:470:y:2017:i:c:p:236-248
    DOI: 10.1016/j.physa.2016.11.140
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