Multiple Steady States and Their Relation to Remaining Chaos in Time Delayed Feedback Controlled Duffing System

摘要

This paper concerns the bifurcation and origin of nontarget periodic orbits, which are unexpectedly stabilized under the time delayed feedback control of a two-well Duffing system. We reveal that the annihilation of the nontarget orbits by saddle-node bifurcation gives a criterion for the disappearance of the global structure governed by original chaos under the control.