Study on the dynamics of an inelastic bouncing ball

Abstract

Considering the case of air damping, we use the method of numerical simulation to study dynamic behavior of inelastic bouncing ball. By changing the value of control parameter V0, the motion of the bouncing ball exhibits nonlinear phenomena of period doubling bifurcation, chaos, etc. These phenomena are confirmed by both 0-1 test and maximal Lyapunov exponent.