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

Zakharova, A, Schneider, I, Kyrychko, Y, Blyuss, K, Koseka, A, Fiedler, B and Schoell, E (2013) Time delay control of symmetry-breaking primary and secondary oscillation death. Europhysics Letters, 104 (5). ISSN 0295-5075

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QH Natural history > QH0301 Biology > QH0426 Genetics > QH0438.4 Special aspects of the subject as a whole, A-Z > QH0438.4.M33 Mathematics
T Technology > T Technology (General) > T0055.4 Industrial engineering. Management engineering > T0057 Applied mathematics. Quantitative methods
Depositing User: Yuliya Kyrychko
Date Deposited: 24 Jul 2015 13:10
Last Modified: 08 Mar 2017 06:45
URI: http://sro.sussex.ac.uk/id/eprint/55741

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