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.
Highlights
Pattern dynamics has been drawing attention in many research fields such as chemical reaction, thermal convection, ecology, and physiology
We describe the light feedback effect by adding sφ to the equation for v, where φ is the average concentration of w1 and w2 and s is a positive constant corresponding to the feedback strength [3,4,8]
We demonstrate the bifurcation diagrams obtained from a two-parameter search by s and D (Fig. 2)
Summary
Pattern dynamics has been drawing attention in many research fields such as chemical reaction, thermal convection, ecology, and physiology. It is noteworthy that the research by Vanag et al pertains to this area [10,11] They observed standing waves using a global feedback system for the photosensitive BZ reaction. Coupled BZ oscillators with inhibitory diffusion and negative global feedback has been recently reported [12] They studied dynamics of a one-dimensional (1D) array and observed. We study the behaviors of two BZ oscillators coupled via diffusion, instead of 2D domains, with negative global feedback effect as well. This can be considered to be the simplest oscillatory cluster pattern. The experimental results well agree with the bifurcation diagram obtained by our model
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