Controlling chimeras
Bick, Christian and Martens, Erik A. LU
(2015)
In New Journal of Physics
17.
- Abstract
Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ones move incoherently. Here, we apply the idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Through control, chimera states become functionally relevant; for example, the controlled position of localized synchrony may encode information and perform computations. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to... (More)
Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ones move incoherently. Here, we apply the idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Through control, chimera states become functionally relevant; for example, the controlled position of localized synchrony may encode information and perform computations. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to develop novel applications. Based on gradient dynamics, our control strategy applies to any suitable observable and can be generalized to arbitrary dimensions. Thus, the applicability of chimera control goes beyond chimera states in non-locally coupled systems.
(Less)
- author
- Bick, Christian
and Martens, Erik A.
LU
- publishing date
- 2015-03-12
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- chimera states, coupled oscillators, noninvasive control
- in
- New Journal of Physics
- volume
- 17
- article number
- 033030
- publisher
- IOP Publishing
- external identifiers
-
- scopus:84981215901
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/17/3/033030
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.
- id
- d8ca8a23-0f07-4b7b-bdb0-34a7a86b2c98
- date added to LUP
- 2021-03-19 21:26:51
- date last changed
- 2022-04-19 05:17:32
@article{d8ca8a23-0f07-4b7b-bdb0-34a7a86b2c98,
abstract = {{<p>Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while the remaining ones move incoherently. Here, we apply the idea of control to chimera states: using gradient dynamics to exploit drift of a chimera, it will attain any desired target position. Through control, chimera states become functionally relevant; for example, the controlled position of localized synchrony may encode information and perform computations. Since functional aspects are crucial in (neuro-)biology and technology, the localized synchronization of a chimera state becomes accessible to develop novel applications. Based on gradient dynamics, our control strategy applies to any suitable observable and can be generalized to arbitrary dimensions. Thus, the applicability of chimera control goes beyond chimera states in non-locally coupled systems.</p>}},
author = {{Bick, Christian and Martens, Erik A.}},
issn = {{1367-2630}},
keywords = {{chimera states; coupled oscillators; noninvasive control}},
language = {{eng}},
month = {{03}},
publisher = {{IOP Publishing}},
series = {{New Journal of Physics}},
title = {{Controlling chimeras}},
url = {{http://dx.doi.org/10.1088/1367-2630/17/3/033030}},
doi = {{10.1088/1367-2630/17/3/033030}},
volume = {{17}},
year = {{2015}},
}