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Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling

Abstract:

For a system of coupled identical phase oscillators with full permutation symmetry, any broken symmetries in dynamical behaviour must come from spontaneous symmetry breaking, i.e. from the nonlinear dynamics of the system. The dynamics of phase differences for such a system depends only on the coupling (phase interaction) function $g(\varphi)$ and the number of oscillators $N$. This paper briefly reviews some results for such systems in the case of general coupling $g$ before exploring two ca...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Name:
Seventh Framework Programme
Funding agency for:
Bick, C
Grant:
626111
More from this funder
Name:
Engineering and Physical Sciences Research Council
Grant:
EP/N014391/1
Publisher:
Frontiers Media
Journal:
Frontiers in Applied Mathematics and Statistics More from this journal
Volume:
2
Issue:
7
Publication date:
2016-06-01
Acceptance date:
2016-06-02
DOI:
Keywords:
Pubs id:
pubs:673612
UUID:
uuid:09890a7f-021b-4a9c-8d5c-9c0dc860442f
Local pid:
pubs:673612
Source identifiers:
673612
Deposit date:
2017-02-13

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