Synchronization of networks of oscillators with distributed delay coupling

Kyrychko, Y N, Blyuss, K B and Schöll, E (2014) Synchronization of networks of oscillators with distributed delay coupling. Chaos, 24. 043117. ISSN 1054-1500

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Abstract

This paper studies the stability of synchronized states in networks, where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of Stuart-Landau oscillators, it is shown how the stability
of synchronized solutions in networks with distributed delay coupling can be determined through a semi-analytic computation of Floquet exponents. The analysis of stability of fully synchronized and of cluster or splay states is illustrated for several practically important choices of
delay distributions and network topologies.

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 12:52
Last Modified: 08 Mar 2017 06:45
URI: http://sro.sussex.ac.uk/id/eprint/55736

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