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Loss of coherence in a population of diffusively coupled oscillators

Loss of coherence in a population of diffusively coupled oscillators
Loss of coherence in a population of diffusively coupled oscillators
The authors investigate the relationship between the natural frequency distribution of diffusively coupled chemical oscillators and their entrainment by pacemakers. The system consists of micrometer-sized catalyst beads which are coupled to their neighbors by diffusion of the activator/inhibitor species through the catalyst-free Belousov-Zhabotinsky (BZ) reaction solution. The frequency distribution is measured as a function of the beads’ number of neighbors. With the maximum number of neighbors, either target waves or disordered patterns are observed in the reaction domain and there is a shift to higher frequencies than those observed in the natural frequency distribution. The loss of coherence between neighbor oscillators is quantified by a decrease in the phase synchronization index. The experimental results are reproduced in simulations which demonstrate that the decrease in the degree of synchronization is correlated with the appearance of a small fraction of permanently excited beads in BZ populations of high mean frequency and/or large width.
0021-9606
Toth, R.
e22b9424-daf5-46fe-bc4d-313a16a9255e
Taylor, A.F.
08028a29-428d-4732-b6b1-f7a93389b386
Toth, R.
e22b9424-daf5-46fe-bc4d-313a16a9255e
Taylor, A.F.
08028a29-428d-4732-b6b1-f7a93389b386

Toth, R. and Taylor, A.F. (2006) Loss of coherence in a population of diffusively coupled oscillators. Journal of Chemical Physics, 125 (22). (doi:10.1063/1.2404655).

Record type: Article

Abstract

The authors investigate the relationship between the natural frequency distribution of diffusively coupled chemical oscillators and their entrainment by pacemakers. The system consists of micrometer-sized catalyst beads which are coupled to their neighbors by diffusion of the activator/inhibitor species through the catalyst-free Belousov-Zhabotinsky (BZ) reaction solution. The frequency distribution is measured as a function of the beads’ number of neighbors. With the maximum number of neighbors, either target waves or disordered patterns are observed in the reaction domain and there is a shift to higher frequencies than those observed in the natural frequency distribution. The loss of coherence between neighbor oscillators is quantified by a decrease in the phase synchronization index. The experimental results are reproduced in simulations which demonstrate that the decrease in the degree of synchronization is correlated with the appearance of a small fraction of permanently excited beads in BZ populations of high mean frequency and/or large width.

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Published date: 14 December 2006

Identifiers

Local EPrints ID: 499555
URI: http://eprints.soton.ac.uk/id/eprint/499555
ISSN: 0021-9606
PURE UUID: 3cb92c55-7b84-4638-a38b-62ac90c2cb10
ORCID for A.F. Taylor: ORCID iD orcid.org/0000-0003-0071-8306

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Date deposited: 25 Mar 2025 18:17
Last modified: 26 Mar 2025 03:14

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Contributors

Author: R. Toth
Author: A.F. Taylor ORCID iD

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