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Time delay control of symmetry-breaking primary and secondary oscillation death
journal contributionposted on 2023-06-08, 21:52 authored by A Zakharova, I Schneider, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss, A Koseka, B Fiedler, E Schoell
We show that oscillation death as a specific type of oscillation suppression, which implies symmetry breaking, can be controlled by introducing time-delayed coupling. In particular, we demonstrate that time delay influences the stability of an inhomogeneous steady state, providing the opportunity to modulate the threshold for oscillation death. Additionally, we find a novel type of oscillation death representing a secondary bifurcation of an inhomogeneous steady state.
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