Open AccessInterplay of random inputs and adaptive couplings in the Winfree model
Author(s) -
SeungYeal Ha,
Doheon Kim,
Bora Moon
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021140
Subject(s) - infinitesimal , robustness (evolution) , coupling strength , statistical physics , computer science , mathematics , topology (electrical circuits) , physics , combinatorics , mathematical analysis , biology , biochemistry , gene , condensed matter physics
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 framework, 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.