Analysis of the Onset of Chaos for the Belousov-Zhabotinsky Reaction

Abstract By utilizing Picard’s iteration and Laplace-Borel transform, a preliminary analytical solution is obtained for the Arneodo model of the B-Z reaction. For purposes of comparison, the numerical simulation of this model is also conducted. Then, the occurrence of chaos in this model is recognized and characterized by the Lyapunov exponent method, correlation dimension method and power spectrum method, respectively.