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Published on: May 29, 2014
Competition between global feedback and diffusion in coupled Belousov-Zhabotinsky oscillators
Kota Ohno1, Toshiyuki Ogawa1, Nobuhiko J Suematsu1
1Graduate 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.
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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