On Energy Transfer in a (MR) Damper Chaotic (Ideal and Non-Ideal) Vibrating System

k , 1 c , ) ( 1 t x , ) (t ϕ , r ) denote the unbalanced mass, mass, linear stiffness, linear damping, displacement, ang ular displacement, eccentricity of the non-ideal st ructure and ( 2 m , 2 k , 2 c , ) ( 2 t x ) denote the mass, non-linear stiffness, linear dam ping, displacement of the essentially nonlinear osc illator, k denotes the weak linear coupling stiffness between the subsystems and t is time.