AN ANALYTICAL STUDY FOR CONTROLLING UNSTABLE PERIODIC MOTION IN MAGNETOELASTIC CHAOS

A magneto-elastic beam system is described by the Duffing equation wit h delay feedback term. The perturbation technique leads to a general u nstable periodic solution near the homoclinic orbit of the equation. A necessary and sufficient condition for stabilizing the solution is gi ven as the relation between control parameters and initial constants, It is shown that sensitivity of the solution to initial constants impl ies chaos and fitting the parameters to the condition can control the chaos. Good agreement is found between the analytical results and prev ious experimental facts. (C) 1997 Elsevier Science B.V.