Solution of the periodic Belousov-Zhabotinsky reaction using a closed-loop mechanism

摘要

Belousov-Zhabotinsky reaction generates self-organized oscillatory pattern which is common in biological systems, synergistic study of oscillatory patterns will assist understanding and modeling complex processes in biological sphere. However, the analytical solution of a self-oscillator is difficult because the system exhibits nonlinear dynamics. In this study, a frequency domain analysis of Hopf bifurcation based on a closed-loop representation is addressed. For better understanding of the closed-loop mechanism, a Laplace-Borel transform is implemented, which is proved to be effective in identifying the coefficients of the harmonics.