Abstract
This paper analyzes motion of an object that bounces on a vibrating plate. The object is composed of two masses and a Kelvin-Voigt material having the properties both of elasticity and viscosity. This study focuses on the case where the object is vertically deformable and does not rotate. We use the stroboscopic map as a Poincare map and calculate the Lyapunov exponents and the 1-parameter bifurcation diagram. In this system, a rich variety of nonlinear phenomena such as chaos, periodic widows, quasi-periodic oscillation, and so on are observed.
