Asymmetric Cauchy noise induces a nonlinear bias in the collective frequency of synchronized Kuramoto oscillators, an effect invisible to the Ott-Antonsen ansatz and captured via circular cumulants.
M.\ Antonsen, ``Long time evolution of phase oscillator systems,'' Chaos 19 (2), 023117 (2009)
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Nonlinear bias of collective oscillation frequency induced by asymmetric Cauchy noise
Asymmetric Cauchy noise induces a nonlinear bias in the collective frequency of synchronized Kuramoto oscillators, an effect invisible to the Ott-Antonsen ansatz and captured via circular cumulants.