Chaos in a Simulated Belousov-Zhabotinsky Reaction

Detection of embedded dynamics in the Györgyi-Field model

“…More specifically, the research was done from the theory of dynamical systems point of view. The transitions from steady state to quasi-periodic and bursting oscillations, and further on to regular relaxation oscillation via a complicated sequence of alternating periodic and chaotic regimes were achieved through by simulations in 16 . The results of computer experiments on information processing in a hexagonal array of vesicles filled with BZ solution in a sub-excitable mode were introduced by 17 .…”

Quasiperiodic to bursting oscillations transition in the model of the Belousov–Zhabotinsky reaction

“…Thus 6 quasiperiodic and mixed-mode oscillations were simulated and studied in detail, but the continuous transition between them was not seen. Recently 7,8 we showed that, based on the detailed eleven-stage scheme of Ruoff and Noyes, not only can all known types of BZ oscillations be modelled but the experimentally observable alternation order could also be reproduced:…”

“…7 formation. The other parameters used are as follows:8 k 1 = 2.1 dm 9 mol 73 s 71 ; k 71 = 1 Â 10 4 dm 3 mol 71 s 71 ; k 2 = 3 Â 10 6 dm 6 mol 72 s 71 ; k 3 = 42 dm 6 mol 72 s 71 ; k 73 = 4.2 Â 10 7 dm 3 mol 71 s 71 ; k 4 = 8 Â10 4 dm 6 mol 72 s 71 ; k 74 = 8.9 Â 10 3 dm 3 mol 71 s 71 ; k 5 = 3 Â 10 3 dm 3 mol 71 s 71 ; k 6 = 8 Â 10 9 dm 6 mol 72 s 71 ; k 76 = 110 s 71 ; k 7 = 4.6 Â 10 73 dm 3 mol 71 s 71 ; k 8 = 10 6 ± 10 7 dm 3 mol 71 s 71 ; k 9 = 10 6 dm 3 mol 71 s 71 ; k 10 = 0.2 dm 3 mol 71 s 71 ; k 11 = 3.2 Â 10 9 dm 3 mol 71 s 71 ; [Br 7 ] 0 = 10 75 mol dm 73 ; [M n+ ] 0 = 5 Â 10 74 mol dm 73 ; constants: [BrO 7 3 ] = 0.08 mol dm 73 ; [RH] = 0.2 mol dm 73 ; [H + ] = 1 mol dm 73 .…”