Abstract
A coupled inverted pendula model of competition and cooperation is proposed to obtain a purely mechanical expression of the dynamics of Lotka-Volterra competition models. The numerical result shows that the proposed model can describe the desired dynamics, that the equilibrium points of the model can represent draw, victory or defeat, and defeat togethor, and that there are initial conditions near all the equilibrium states of the model. It seems that the obtained behavior of the model contains competitive dynamics of can be compared with martial arts trick.
