Analytical Routes to Chaotic Evolutions

Abstract

As in Luo and Guo [38], the analytical solutions of periodic evolution of the Brusselator model should have been represented by an infinite Fourier expansion, which can avoid truncation error. However, such an infinite expansion cannot be applied in computation. Thus, the applicability of analytical solution necessitates the truncation on an infinite Fourier expansion, which is given by Eq. (3.10). The accuracy of the analytical solution thus depends on the truncation error, in other words depends on the number of harmonic terms preserved in Eq. (3.10).