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OP-II-3

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PP-I-63m 2 = (k 1 y 0 1 +k -1 +k 1 k -1 p/q)/q, m 3 = k 2 /q , m 4 = (k 2 +k -2 ( y 0 1 +k -1 /k 1 +y 0 2 ))/q, m 5 = k -2 /k 1 ,m 6 = k -1 /q – dimensionless parameters. In model (3) all parameters are positive.System (3) corresponds to the characteristic polynomial of second degree2λ + σ λ + σ = 0 . (4)Based on method of analysis of the coefficients of the characteristic polynomial(4) found the fields of system parameters (3) with different types of dynamic behavior.In particular field of existence of self-oscillatory regimes are defined. Fig. 1 shows theresults of calculating the trajectories of changes in the concentrations of intermediatez and basic u substances over time (profiles z (t) and u (t) in the environment of thesteady state (z ∞ =0,3270698, u ∞ =2628,001501)) for values of the parametersm 1 = 0,02, m 2 = 2645,1923, m 3 = 8000, m 4 = 34394,393, m 5 = 10, m 6 = 287,65.12Fig. 1. Profiles z (t) and u(t): z(0)= 0,32647, u(0)= 2628,001Thus the account of change of concentration as the basic and intermediatesubstances allows to describe isothermal self-oscillations of catalytic reactions by thesimple two-stage scheme (1).References[1]. Koltsov N.I. Mathematical modeling of catalytic reactions. Cheboksary, 2007, 294.[2]. Bykov V.I., Tsybenova C.B. Russ. J. Phys. Chem., 2009, Vol. 83, N 4, 709-718.[3]. Yablonsky G.S., Bykov V.I., Elokhin V.I. Kinetics of model reactions of heterogeneous catalysis.Novosibirsk, 1984, 223.AcknowledgementsPossibility of describing the self-oscillatory regimes in heterogeneous catalytic reactionsof the two-stage schemes under isothermal conditions at changes of basic and intermediatesubstances concentrations is shown.333

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