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Synchronization of networks of oscillators with distributed delay coupling

journal contribution
posted on 2023-06-08, 21:52 authored by Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss, E Schöll
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Chaos

ISSN

1054-1500

Publisher

American Institute of Physics

Issue

4

Volume

24

Page range

043117

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2015-07-24

First Compliant Deposit (FCD) Date

2015-07-24

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