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Noise-Induced Convergence of Low Flow Rate chaos in the Belousov-Zhabotinsky Reaction

M. Yoshimoto, M. Nakaiwa, T. Akiya, T. Ohmori, and T. Yamaguchi
[Physica D, Vol.84, pp.310-317, 1995]

The effect of noise on the low flow-rate chaos in the Belousov-Zhabotinsky (BZ) reaction was studied. The chaos was stimulated using the three-variable model of Gyšgyi and Field. Gaussian white noise was imposed on the flow-rate of the reactant solutions fed into CSTR to stimulate the so-called type P noise. The range of average noise amplitudes was chosen between 0.01% and 1% related to the inverse residence time. The calculated time series were analyzed on the basis of their Fourier spectra, maximum Lyapunov exponent, Kolmogorov entropies, return maps and invariant density. We found that the noise induces partial order of the period-3-like oscillations in the low flow rate chaos.

Fig.1
Fig. 1. Time-delay phase portrait reconstructed from variable z. Scattered points show chaotic trajectory in time-delay (T=11.5 s). (a) without noise, (b) with noise (amplitude sigma2 = 1%).

Fig.2
Fig. 2. Fourier spectrum (FFT) from the same data series as in Fig. 1. The logarithmic Fourier spectrum is also given as inset. (a) without noise, (b) with noise (sigma2 = 1%).

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