A new approach of computing Floquet transition matrix

A numerical solution based on the precise integration method is presented for computing the Floquet transition matrix (FTM), and dealing with the stability of the periodic system. The numerical properties of this solution are illustrated by comparing the numerical results and efficiency of two methods: (1) Hammingʹs predictor–corrector, (2) Runge–Kutta. It is concluded that the precise integration method in single-pass is the most efficient, economical and viable.