In this paper we give several new methods to study the existence and uniqueness of harmonic solutions and subharmonic ones of the SD(Smooth and Discontinuous)differen-tial equations+x(1-1/)=e(t),where
According to the classical Duffing and van der pol systems,the four-order coupled fast-slow Duffing-van der pol system with external periodic excitation has been proposed in this paper.
In this work,we consider a fractional nonlinear vibration system of Duffing-van der Pol type with harmonic excitation,where the lower limit of integral in the fractional derivative operator is taken a