Journal article
Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling
- Abstract:
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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
- Version:
- Publisher's version
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- Files:
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(pdf, 9.3MB)
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- Publisher copy:
- 10.3389/fams.2016.00007
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Authors
Funding
Bibliographic Details
- 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:
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pubs:673612
- URN:
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uri:09890a7f-021b-4a9c-8d5c-9c0dc860442f
- UUID:
-
uuid:09890a7f-021b-4a9c-8d5c-9c0dc860442f
- Local pid:
- pubs:673612
Item Description
Terms of use
- Copyright holder:
- Bick et al
- Copyright date:
- 2016
- Notes:
- © 2016 Ashwin, Bick and Burylko. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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