Journal article

### 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...

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

### Access Document

Files:
• (pdf, 9.3mb)
Publisher copy:
10.3389/fams.2016.00007

### Authors

More by this author
Department:
Oxford, MPLS, Mathematical Institute
Burylko, O More by this author
Publisher:
Frontiers Media Publisher's website
Journal:
Frontiers in Applied Mathematics and Statistics Journal website
Volume:
2
Issue:
7
Publication date:
2016-06-05
Acceptance date:
2016-06-02
DOI:
Pubs id:
pubs:673612
URN:
uri:09890a7f-021b-4a9c-8d5c-9c0dc860442f
UUID:
uuid:09890a7f-021b-4a9c-8d5c-9c0dc860442f
Local pid:
pubs:673612
Keywords: