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TITLE INTERPLAY OF RANDOM INPUTS AND ADAPTIVE COUPLINGS IN THE WINFREE MODEL
KIAS AUTHORS Kim, Doheon
JOURNAL COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021
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ABSTRACT We study a structural robustness of the complete oscillator death state in the Winfree model with random inputs and adaptive couplings. For this, we present a sufficient framework formulated in terms of initial data, natural frequencies and adaptive coupling strengths. In our proposed frame-work, we derive propagation of infinitesimal variations in random space and asymptotic disappearance of random effects which exhibits the robustness of the complete oscillator death state for the random Winfree model.
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