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arXiv · 1309.5793

Time delay control of symmetry-breaking primary and secondary oscillation death

A. Zakharova·I. Schneider·Y. N. Kyrychko·K. B. Blyuss·A. Koseska·B. Fiedler·E. Schöll
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Abstract

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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A. Zakharova, I. Schneider, Y. N. Kyrychko, K. B. Blyuss, A. Koseska, B. Fiedler, E. Schöll. 2013-09-23. Time delay control of symmetry-breaking primary and secondary oscillation death. https://doi.org/10.1209/0295-5075%2F104%2F50004

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