The effects of Triton X-100(TX100),a nonionic surfactant, on Belousov-Zhabotinsky reactions(B-Z reactions),including H_2SO_4^+ malonic acid(MA)+KBrOs+Mn^(2+)and H_2SO_4+gallic acid(GA)+KBrO_3 systems,have been investi...The effects of Triton X-100(TX100),a nonionic surfactant, on Belousov-Zhabotinsky reactions(B-Z reactions),including H_2SO_4^+ malonic acid(MA)+KBrOs+Mn^(2+)and H_2SO_4+gallic acid(GA)+KBrO_3 systems,have been investigated.The results showed that the oscillation parameters(the induction period,average oscillation period,oscillation lasting time)in these B-Z reactions were changed suddenly near the critical micelle concen- tration(CMC)of TX100.The results were explained according to the mechanism of B-Z reaction and the properties of micelles of the surfactant.展开更多
The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use a new successive approximation of solutions, ens...The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use a new successive approximation of solutions, ensuring its positivity. To obtain the positivity and invariant region for numerical solutions, the system is discretized as difference equations of explicit form, employing operator splitting methods with linear stability conditions. Algorithm to solve the alternate solution is given.展开更多
文摘The effects of Triton X-100(TX100),a nonionic surfactant, on Belousov-Zhabotinsky reactions(B-Z reactions),including H_2SO_4^+ malonic acid(MA)+KBrOs+Mn^(2+)and H_2SO_4+gallic acid(GA)+KBrO_3 systems,have been investigated.The results showed that the oscillation parameters(the induction period,average oscillation period,oscillation lasting time)in these B-Z reactions were changed suddenly near the critical micelle concen- tration(CMC)of TX100.The results were explained according to the mechanism of B-Z reaction and the properties of micelles of the surfactant.
文摘The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use a new successive approximation of solutions, ensuring its positivity. To obtain the positivity and invariant region for numerical solutions, the system is discretized as difference equations of explicit form, employing operator splitting methods with linear stability conditions. Algorithm to solve the alternate solution is given.
