IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v133y2020ics0960077920300023.html
   My bibliography  Save this article

Turing instability in nonlinear chemical oscillators coupled via an active medium

Author

Listed:
  • Mussa Juane, Mariamo
  • García-Selfa, David
  • Muñuzuri, Alberto P.

Abstract

Nonlinear chemical oscillators have attracted a great deal of interest in the scientific community due to the wide range of non-trivial behaviors they exhibit and also due to their ability to reproduce behaviors found in nature. We consider this system and mathematically propose a different description based on a network-type topology. Within this context, we demonstrate the existence of a new type of behavior, induced by a Turing instability, characterized by the existence of two sets of chemical oscillators with different properties. The parameters of the model are analyzed and the influence on the collective behavior described.

Suggested Citation

  • Mussa Juane, Mariamo & García-Selfa, David & Muñuzuri, Alberto P., 2020. "Turing instability in nonlinear chemical oscillators coupled via an active medium," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300023
    DOI: 10.1016/j.chaos.2020.109603
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920300023
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.109603?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Z. Néda & E. Ravasz & Y. Brechet & T. Vicsek & A.-L. Barabási, 2000. "The sound of many hands clapping," Nature, Nature, vol. 403(6772), pages 849-850, February.
    2. Stefan Luther & Flavio H. Fenton & Bruce G. Kornreich & Amgad Squires & Philip Bittihn & Daniel Hornung & Markus Zabel & James Flanders & Andrea Gladuli & Luis Campoy & Elizabeth M. Cherry & Gisa Luth, 2011. "Low-energy control of electrical turbulence in the heart," Nature, Nature, vol. 475(7355), pages 235-239, July.
    3. Hongwei Yin & Xiaoyong Xiao & Xiaoqing Wen, 2013. "Turing Patterns in a Predator-Prey System with Self-Diffusion," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liqin Liu & Chunrui Zhang, 2023. "Multiple Hopf Bifurcations of Four Coupled van der Pol Oscillators with Delay," Mathematics, MDPI, vol. 11(23), pages 1-16, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. William A. Ramírez & Alessio Gizzi & Kevin L. Sack & Simonetta Filippi & Julius M. Guccione & Daniel E. Hurtado, 2020. "On the Role of Ionic Modeling on the Signature of Cardiac Arrhythmias for Healthy and Diseased Hearts," Mathematics, MDPI, vol. 8(12), pages 1-19, December.
    2. Carballosa, Alejandro & Muñuzuri, Alberto P., 2022. "Intermittency regimes of poorly-mixed chemical oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Sun, Ruyi & Chang, Jiaqi & Wang, Hongmei & Li, Miaomiao & Sun, Yongzheng, 2024. "Time and energy costs for synchronization of multi-layer networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 440-455.
    4. Monic Sun & Xiaoquan (Michael) Zhang & Feng Zhu, 2012. "To Belong or to Be Different? Evidence from a Large-Scale Field Experiment in China," Working Papers 12-15, NET Institute, revised Oct 2012.
    5. Takayuki Niizato & Yukio-Pegio Gunji, 2012. "Fluctuation-Driven Flocking Movement in Three Dimensions and Scale-Free Correlation," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-1, May.
    6. Mehdi Moussaïd & Elsa G Guillot & Mathieu Moreau & Jérôme Fehrenbach & Olivier Chabiron & Samuel Lemercier & Julien Pettré & Cécile Appert-Rolland & Pierre Degond & Guy Theraulaz, 2012. "Traffic Instabilities in Self-Organized Pedestrian Crowds," PLOS Computational Biology, Public Library of Science, vol. 8(3), pages 1-10, March.
    7. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2019. "Difference synchronization among three chaotic systems with exponential term and its chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 36-51.
    8. Echegoyen, I. & Vera-Ávila, V. & Sevilla-Escoboza, R. & Martínez, J.H. & Buldú, J.M., 2019. "Ordinal synchronization: Using ordinal patterns to capture interdependencies between time series," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 8-18.
    9. Lee, Hae Seong & Park, Jong Il & Kim, Beom Jun, 2021. "Modified Kuramoto model with inverse-square law coupling and spatial time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    10. Ding, Qianming & Wu, Yong & Hu, Yipeng & Liu, Chaoyue & Hu, Xueyan & Jia, Ya, 2023. "Tracing the elimination of reentry spiral waves in defibrillation: Temperature effects," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    11. Lacerda, Juliana C. & Freitas, Celso & Macau, Elbert E.N., 2022. "Elementary changes in topology and power transmission capacity can induce failures in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    12. Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2019. "Turing patterns in a reaction–diffusion system modeling hunting cooperation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 172-180.
    13. Tanida, Sakurako, 2022. "The synchronization of elevators when not all passengers will ride the first-arriving elevator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    14. Keiko Yokoyama & Yuji Yamamoto, 2011. "Three People Can Synchronize as Coupled Oscillators during Sports Activities," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-8, October.
    15. Ngamsa Tegnitsap, J.V. & Fotsin, H.B., 2022. "Multistability, transient chaos and hyperchaos, synchronization, and chimera states in wireless magnetically coupled VDPCL oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300023. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.