V. Nevoral et al., SYNCHRONIZATION OF OSCILLATIONS AND PROPAGATION OF EXCITATIONS IN CIRCULAR AND LINEAR ARRAYS OF COUPLED CSTRS, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 101(27), 1997, pp. 4954-4965
Synchronizations of oscillatory regimes of the Belousov-Zhabotinskii (
BZ) reaction in a circular array of three identical CSTRs coupled via
symmetric passive diffusion/convection mass transfer were studied expe
rimentally. Stability of symmetric and asymmetric phase-shifted oscill
atory regimes with respect to variations of the coupling strength amon
g the reaction cells was examined. The all-in-phase regime was found t
o be the only regime stable over the entire range of coupling strength
values. Phase-shifted oscillatory regimes were found to be stable onl
y within a narrow interval of very low coupling strength values. Spont
aneous transitions of the phase-shifted regimes to the synchronized mo
de due to stochastic fluctuations of the coupling strength were observ
ed. Numerical simulations with the four-variable Oregonator based mode
l of the BZ reaction qualitatively confirmed the experimental findings
. Propagation of an excitable response to periodic pulsed stimulations
in a linear three-array of coupled chemical excitators (Belousov-Zhab
otinskii reaction) was studied in dependence on the coupling strength,
on the excitability level of the reaction mixture, and on the period
and amplitude of pulse stimulation. Regimes of complete and partial pr
opagation of the excitable response and the regimes of partial and com
plete propagation failure were observed. Numerical simulations predict
qualitatively well excitatory regimes observed in experiments.