A method is presented for stabilizing unstable periodic orbits of a dynamical system by applying continuous feedback on a control parameter. The feedback signal is proportional to the difference between two values of a dynamical variable, separated by a time equal to the unstable orbit periodicity. This method has been checked numerically and experimentally on the control of the unstable orbits of a CO₂ laser with modulated losses.
No takes yet. Share an insight, caveat, or question.
Bielawski et al. (1994) studied this question.