A Study on Mechanical System Representation of Competition and Cooperation

A coupled inverted pendula model of competition and cooperation is proposed to obtain a purely mechanical implementation of dynamics comparable with the lotka-Volterra competition dynamics. It is shown numerically that the proposed model can describe the desired dynamics, that the equilibrium points can be compared to ecological coexistence, dominance, and scramble, and that there are initial conditions neighboring all the equilibrium points. It is also shown that the proposed model can produce competitive dynamics comparable to martial arts tricks.