Auxiliary reference feedback control for chaotic systems

The problem of controlling conservative chaotic systems is investigated in this paper. Based on time delay feedback (TDF),a novel control method named auxiliary reference feedback (ARF) is presented. Different from TDF method , the basis to choose controlling parameters has been given. Only by approp riately adjusting feedback parameters and reference term, any periodical or bit can be reached by ARF. Numerical simulation results show that, ARF meth od is effective to control both dissipative and conservative systems. Moreo ver, we find that periodic windows controlled by ARF are stable in the pres ence of weak external noise.