• Open Access

Competition between global feedback and diffusion in coupled Belousov-Zhabotinsky oscillators

Kota Ohno, Toshiyuki Ogawa, and Nobuhiko J. Suematsu
Phys. Rev. E 99, 012208 – Published 10 January 2019

Abstract

The Belousov-Zhabotinsky (BZ) reaction is a famous experimental model for chemical oscillatory reaction and pattern formation. We herein study a diffusive coupled system of two oscillators with global feedback using the photosensitive BZ reaction both experimentally and theoretically. The coupled oscillator showed in-phase and antiphase oscillations depending on the strength of diffusive coupling and light feedback. Moreover, we analyzed our model to locate the bifurcational origin and found the reconnection of the bifurcation branches for antiphase oscillation, which was induced by the competition between global feedback and the diffusion effect.

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  • Received 5 September 2018
  • Revised 22 October 2018

DOI:https://doi.org/10.1103/PhysRevE.99.012208

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Kota Ohno, Toshiyuki Ogawa*, and Nobuhiko J. Suematsu

  • Graduate School of Advanced Mathematical Science, Meiji University, Nakano, Tokyo 164-8525, Japan and Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Nakano, Tokyo 164-8525, Japan

  • *togw@meiji.ac.jp

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Issue

Vol. 99, Iss. 1 — January 2019

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