Irregular behaviors of two chemical oscillators with a diffusion coupling

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Abstract
Dynamic behaviors of two chemical oscillators coupled with a time delay were investigated at the border between regions of 1:1 and 2:1 entrainment. Chemical oscillators were realized by immersing cation exchange beads loaded with the ferroin catalyst in the Belousov-Zabotinskii reaction solution. On decreasing the distance d between two oscillators, subharmonic entrainment at commensurate frequency ratios such as 2:1, 3:2, and 4:3 occurred in that order. When d was further decreased, an irregular behavior was observed in the slower oscillator near the coupling region of 1:1. The time series for these states were characterized in terms of their power spectra, reconstructed attractors, and the largest Lyapunov exponent to confirm the feature of chaos.