Damped Hill´s equation and iso-μ curves of a related second Hill´s equation

In this paper we obtain the relationship between the transition curves of any damped Hill´s equation and the Iso-μ curves of some related Hill´s equation without dissipation. We give examples of one and two degrees of freedom and verify the relationship obtained. The relationship could be used to obtain the transition curves of a damped Hill´s equation starting from the Iso-μ curves or vice versa.