AI Article Synopsis

  • The study examines rings of oscillators that communicate through delayed pulse coupling, exploring their behavior under different conditions.
  • The main findings include the identification of stable rotating waves and a transition to unstable jittering waves, where the intervals between pulses become uneven.
  • An analytical criterion for predicting the onset of these jittering waves is established and supported by numerical and experimental evidence, suggesting that multijitter instability is a common phenomenon in similar systems.

Article Abstract

Rings of oscillators with delayed pulse coupling are studied analytically, numerically, and experimentally. The basic regimes observed in such rings are rotating waves with constant interspike intervals and phase lags between the neighbors. We show that these rotating waves may destabilize leading to the so-called jittering waves. For these regimes, the interspike intervals are no more equal but form a periodic sequence in time. Analytic criterion for the emergence of jittering waves is derived and confirmed by the numerical and experimental data. The obtained results contribute to the hypothesis that the multijitter instability is universal in systems with pulse coupling.

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Source
http://dx.doi.org/10.1103/PhysRevE.94.012206DOI Listing

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