  We analyze a simple stochastic model to describe motor molecules which
cooperate in large groups and present a physical mechanism which can lead to
oscillatory motion if the motors are elastically coupled to their environment.
Beyond a critical fuel concentration, the non-moving state of the system
becomes unstable with respect to a mode with angular frequency omega. We
present a perturbative description of the system near the instability and
demonstrate that oscillation frequencies are determined by the typical
timescales of the motors.
