Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model

David García-Selfa; Gourab Ghoshal; Christian Bick; Juan Pérez-Mercader; Alberto P. Muñuzuri

doi:10.1016/j.chaos.2021.110809

Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model

David García-Selfa, Gourab Ghoshal, Christian Bick, Juan Pérez-Mercader, Alberto P. Muñuzuri^*

^*Corresponding author for this work

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools, we approach this problem in order to describe the transition between two such synchronized states. Bifurcation and continuation analysis provide a full description of the parameter space. Phase approximation modeling allows the calculation of the oscillator periods and the bifurcation point.

Original language	English
Article number	110809
Journal	Chaos, Solitons and Fractals
Volume	145
DOIs	https://doi.org/10.1016/j.chaos.2021.110809
Publication status	Published - Apr 2021
Externally published	Yes

Bibliographical note

Funding Information:
We gratefully acknowledge financial support by the Spanish Ministerio de Econom?a y Competitividad and European Regional Development Fund under contract RTI2018-097063-B-I00 AEI/FEDER, UE, and by Xunta de Galicia under Research Grant No. 2018-PG082. APM and DGS are part of the CRETUS Strategic Partnership (AGRUP2015/02). All these programs are co-funded by FEDER (UE). JP-M thanks Repsol S. A. for supporting this research. Funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Funding Information:
We gratefully acknowledge financial support by the Spanish Ministerio de Economía y Competitividad and European Regional Development Fund under contract RTI2018-097063-B-I00 AEI/FEDER , UE, and by Xunta de Galicia under Research Grant No. 2018-PG082 . APM and DGS are part of the CRETUS Strategic Partnership (AGRUP2015/02). All these programs are co-funded by FEDER (UE). JP-M thanks Repsol S. A. for supporting this research. Funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Publisher Copyright:
© 2021 Elsevier Ltd

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Funding

We gratefully acknowledge financial support by the Spanish Ministerio de Econom?a y Competitividad and European Regional Development Fund under contract RTI2018-097063-B-I00 AEI/FEDER, UE, and by Xunta de Galicia under Research Grant No. 2018-PG082. APM and DGS are part of the CRETUS Strategic Partnership (AGRUP2015/02). All these programs are co-funded by FEDER (UE). JP-M thanks Repsol S. A. for supporting this research. Funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. We gratefully acknowledge financial support by the Spanish Ministerio de Economía y Competitividad and European Regional Development Fund under contract RTI2018-097063-B-I00 AEI/FEDER , UE, and by Xunta de Galicia under Research Grant No. 2018-PG082 . APM and DGS are part of the CRETUS Strategic Partnership (AGRUP2015/02). All these programs are co-funded by FEDER (UE). JP-M thanks Repsol S. A. for supporting this research. Funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Funders	Funder number
CRETUS	AGRUP2015/02
Repsol S. A.
Ministerio de Economía y Competitividad
European Regional Development Fund	RTI2018-097063-B-I00 AEI/FEDER
European Regional Development Fund
Xunta de Galicia	2018-PG082
Xunta de Galicia

Keywords

Bifurcation theory
Chemical oscillators
Mobbing state
Phase approximation
Synchronization

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10.1016/j.chaos.2021.110809

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title = "Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model",

abstract = "Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools, we approach this problem in order to describe the transition between two such synchronized states. Bifurcation and continuation analysis provide a full description of the parameter space. Phase approximation modeling allows the calculation of the oscillator periods and the bifurcation point.",

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AU - Muñuzuri, Alberto P.

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Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model

Abstract

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Keywords

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