Controlling chimeras

Christian Bick, Erik A. Martens

Research output: Contribution to journalJournal articleResearchpeer-review

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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 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.

Original languageEnglish
Article number033030
JournalNew Journal of Physics
Volume17
ISSN1367-2630
DOIs
Publication statusPublished - 12 Mar 2015
Externally publishedYes

Keywords

  • chimera states
  • coupled oscillators
  • noninvasive control

Cite this

Bick, Christian ; Martens, Erik A. / Controlling chimeras. In: New Journal of Physics. 2015 ; Vol. 17.
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Controlling chimeras. / Bick, Christian; Martens, Erik A.

In: New Journal of Physics, Vol. 17, 033030, 12.03.2015.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Controlling chimeras

AU - Bick, Christian

AU - Martens, Erik A.

PY - 2015/3/12

Y1 - 2015/3/12

N2 - 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.

AB - 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.

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KW - noninvasive control

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