Time delay control of symmetry-breaking primary and secondary oscillation death
Chaotic Dynamics
2015-06-17 v1 Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.1309.5793,
title = {Time delay control of symmetry-breaking primary and secondary oscillation death},
author = {A. Zakharova and I. Schneider and Y. N. Kyrychko and K. B. Blyuss and A. Koseska and B. Fiedler and E. Schöll},
journal= {arXiv preprint arXiv:1309.5793},
year = {2015}
}
Comments
6 pages, 4 figures