Abstract
A coupled inverted pendula model of competition and cooperation is proposed to develop a purely mechanical implementation comparable to the Lotka-Volterra competition model. It is numerically shown that our model can produce the four stable equilibriums analogous to ecological coexistence, dominance, and scramble. Moreover, fractal structures arises in basins of attractions to the equilibriums. This implies that in experimental situations, it will be uncertain which equilibrium is produced by a given initial position under limited mechanical precisions.
