On Remain of Chaos in Time Delayed Feedback Control and Its Influence on Transient behavior

Abstract

This paper concerns the global structure of the phase space in magnetoelastic beam system under the time delayed feedback control. The numerical investigation of an unstable manifold governing the global structure reveals that the chaotic dynamics of the controlled object possibly remains in the controlled system. We show the remanence causes long and irregular transient behavior before the convergence towards the target orbits.