Rimless wheel

Abstract

The paper hypothesizes that bipedal walking is a process of self-oscillations in terms of variables. The simplest model of bipedal walking – the movement of a rimless wheel (a wheel with legs) is considered. In a nonlinear formulation, the dynamics of its plane motion down an inclined plane is analyzed analytically. It is shown that various modes of movement of a rimless wheel are possible. The most interesting of which is the existence of a stable periodic solution (self-oscillations).