Some problems of the linear theory of systems of ordinary differential equations
The paper addresses the characterization of invariant hyperplanes for systems of linear ordinary differential equations. The notion of equivalence between such systems of different orders is introduced and a new formula for the Floquet form is proposed. Finally, given a periodic trajectory of a dynamical system it is suggested the introduction of suitable amplitude-phase coordinates reducing the system to a simpler form.
linear systems of ordinary differential equations
scientific article; zbMATH DE number 6015581