Volume 104, Number 5, December 2013
|Number of page(s)||6|
|Published online||20 December 2013|
Time delay control of symmetry-breaking primary and secondary oscillation death
1 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstraße 36, 10623 Berlin, Germany
2 Fachbereich Mathematik und Informatik, Freie Universität Berlin - Arnimallee 2–6, 14195 Berlin, Germany
3 Department of Mathematics, University of Sussex - Falmer, Brighton, BN1 9QH UK
4 Systemische Zellbiologie, MPI für molekulare Physiologie - Otto-Hahn-Straße 11, 44227 Dortmund, Germany
Received: 19 September 2013
Accepted: 2 December 2013
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 02.30.Ks – Delay and functional equations
© EPLA, 2013
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