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Synchronization of phase oscillators with chemical coupling: Removal of oscillators and external feedback control

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  • Czajkowski, Bruno M.
  • Batista, Carlos A.S.
  • Viana, Ricardo L.

Abstract

In many applications of biological interest spatially localized phase oscillators present a non-local coupling characterized by the diffusion of a mediating chemical. The latter is both produced and absorbed by the phase oscillators according to their dynamical behavior. We investigate numerically phase and frequency synchronization in a model for chemical coupling of uniform phase oscillators with natural frequencies randomly distributed according to some statistical distribution. We study the effect of removal of oscillators, caused by lesions, on the synchronization properties of the network. The partial or complete suppression of synchronization is also investigated through the influence of a time-delayed feedback external signal.

Suggested Citation

  • Czajkowski, Bruno M. & Batista, Carlos A.S. & Viana, Ricardo L., 2023. "Synchronization of phase oscillators with chemical coupling: Removal of oscillators and external feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    • Handle: RePEc:eee:phsmap:v:610:y:2023:i:c:s0378437122009761
    DOI: 10.1016/j.physa.2022.128418
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