Coexisting Attractors and Their Control in an Angular Motion Transfer Mechanism

Abstract

It is shown that even simple models of angular motion transfer mechanisms possess features characteristic to non-linear dynamical systems: coexistence of periodic attractors, non-synchronous motion modes, chaotic solutions. Some of those features are quite unique. The transition to chaos takes place when the damping of the output element is increased. The basin boundaries of strange attractors are not fractal. The existence of multiple stable attractors enables the design of a new type of control strategy for angular motion transfer mechanisms.