Basins of attraction for chimera states
Martens, Erik A. LU
; Panaggio, Mark J.
and Abrams, Daniel M.
(2016)
In New Journal of Physics
18(2).
- Abstract
Chimera states - curious symmetry-broken states in systems of identical coupled oscillators - typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/474233c5-b8ff-4ab7-a1ac-e6bb7ac01d88
- author
- Martens, Erik A.
LU
; Panaggio, Mark J.
and Abrams, Daniel M.
- publishing date
- 2016-02-18
- type
- Contribution to journal
- publication status
- published
- keywords
- basins of attraction, chimera states, hierarchical networks, neural networks
- in
- New Journal of Physics
- volume
- 18
- issue
- 2
- article number
- 022002
- publisher
- IOP Publishing
- external identifiers
-
- scopus:84960194403
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/18/2/022002
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
- id
- 474233c5-b8ff-4ab7-a1ac-e6bb7ac01d88
- date added to LUP
- 2021-03-19 21:25:32
- date last changed
- 2022-02-01 20:52:47
@article{474233c5-b8ff-4ab7-a1ac-e6bb7ac01d88,
abstract = {{<p>Chimera states - curious symmetry-broken states in systems of identical coupled oscillators - typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.</p>}},
author = {{Martens, Erik A. and Panaggio, Mark J. and Abrams, Daniel M.}},
issn = {{1367-2630}},
keywords = {{basins of attraction; chimera states; hierarchical networks; neural networks}},
language = {{eng}},
month = {{02}},
number = {{2}},
publisher = {{IOP Publishing}},
series = {{New Journal of Physics}},
title = {{Basins of attraction for chimera states}},
url = {{http://dx.doi.org/10.1088/1367-2630/18/2/022002}},
doi = {{10.1088/1367-2630/18/2/022002}},
volume = {{18}},
year = {{2016}},
}