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À propos de : Investigation of the Stochastic Oregonator by the Probability Cellular Automaton: Frequency-Multiplying Bifurcation        

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  • Investigation of the Stochastic Oregonator by the Probability Cellular Automaton: Frequency-Multiplying Bifurcation
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  • The method of probability cellular automaton (PCA) has been usedto simulate turbulent stirring, moleculardiffusion, and the reactions of the stochastic Oregonator in each cellof the automaton and to model thebifurcation of oscillation frequency multiplication discovered earlierin the Belousov−Zhabotinsky reactionin water-in-oil Aerosol OT microemulsion. At large constants ofmass exchange between the adjacent PCAcells (kex), the system demonstratesoscillations whose shape and period (T∞) arefully identical with thoseobtained from the solution of the ordinary differential equations.When kex decreases, the period Tshortensand reaches the limit Tm atkex ≤ kcr. Thesmaller the volume Vc assigned to a PCA cell andthe slower thesystem's approach to the critical concentration of the inhibitor[Br-]cr, the higher the ratioT∞/Tm.Thestochastisity of microoscillators is the source of newfrequencies.
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