Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

PP-I-24NONLINEAR MODELS OF KINETICS AND THERMOKINETICSBykov V.I., Tsybenova S.B.*Bauman Moscow State Technical University, 105005, Moscow, Baumanskaya, 5, MSTU,vibykov@mail.ru,*Russian State Social University, 129226, Moscow, Wilhelm Pik, 4, tsybenova@mail.ruWe considered a series of the nonlinear kinetic models of the catalytic reactions.Catalytic trigger. Scheme: 1) 2Z ↔ 2X 1 , 2) Z ↔ X 2 , 3) X 1 + X 2 → 2Z .Model:dx12= 2k1z− 2kdτdx 2= k 2z− k −2xdτ−12x21− kCatalytic oscillator. Steps 1) – 3) + 4) Z → X 3 .Model:dx12= 2k1z− 2kdτdx 2= k 2z− k −2xdτdx3= k3z− k −3xdτ−123,x21− k− k33(T)x− k33(T)x(T)x1xx2(T)x1211,,z = 1−xxx122,,− xz = 1−xAutocatalytic trigger. Scheme: 1) Z ↔ X, 2) X+2Z → 3Z,Model: dx = k (1 x) k x k x(1 x)21 − − − 1 − 2 − .dτAutocatalytic oscillator. Scheme: 1) Z ↔ X 1 , 2) X 1 + 2Z → 3Z, 3) Z ↔ X 2 ,Model:dx1= k1z− k −1x1− kdτdx 2= k3z− k −3x2,dτ2(T)x z12,z = 1−xThe parametrical analysis method gives a possibility for kinetics and thermokineticmodels to build the bifurcation curves, parametric and phase portraits, oscillation regimes. Westudy the nonlinear dynamic system like the famous classic models CSTR − Aris-Amundsonmodel [1-4].References1. Bykov V.I., Tsybenova S.B.// Journal of Phys. Chem. 2003. V. 77. №9, PP.1566–1569.2. Bykov V.I., Tsybenova S.B.// Theor. Bases of Chem. Tech. 2003. V. 37. №1. PP.64−75.3. Bykov V.I., Tsybenova S.B., Slinko M.G. // Dokl. AN. 2001. V. 378. №2. PP.214−217.4. Bykov V.I., Tsybenova S.B., Slinko M.G. // Dokl. AN. 2001. V. 378. №3. PP.355−358.1− x22− x.3.1− x2.255