A Numerical Study on Stabilization Process via Unstable Coexisting Orbits in Magneto-Elastic System under Delayed Feedback Control

Abstract

Delayed feedback control (DFC) is well-known as a practical method for stabilizing unstable periodic orbits (UPOs) embedded in chaotic attractors. The stabilization of magneto-elastic system applied to DFC has been achieved experimentally. However, the mechanism of stabilization has not been clearly understood, since the system has been analytically discussed under restriction within the neighborhood of a stabilized UPO. In this paper, coexisting orbits with the stabilized UPO are numerically discussed. The existence of solutions approaching UPO along unstable coexisting orbit is shown.