Showing papers by "Kestutis Pyragas published in 2009"
TL;DR: A modified delayed feedback control algorithm with the improved global properties is proposed, based on the ergodic features of chaotic systems, and to evaluate the closeness of the system state to the target orbit, a special algorithm is devised.
Abstract: A modified delayed feedback control algorithm with the improved global properties is proposed. The modification is based on the ergodic features of chaotic systems. We do not perturb the system until its state approaches a desired unstable periodic orbit and then we activate the delayed feedback control force. To evaluate the closeness of the system state to the target orbit, a special algorithm is devised. For continuous-time systems, it can be implemented by means of a simple low-pass filter. An additional low-pass filter can be used for selection of the particular orbit from several unstable orbits of the same period.
12 citations
TL;DR: In this paper, the authors discuss the possibility of a stochastic resonance phenomenon in the dynamics of test particles in the field of a Kerr black hole and show that near-equatorial trajectories lying on two θ-cones tend to mix between the two cones.
Abstract: The paper discusses the possibility of a stochastic resonance phenomenon in the dynamics of test particles in the field of a Kerr black hole. Carter’s first integral for the longitudinal variable possesses a double-well potential. If appropriate external periodic forcing and a stochastic force are present, a stochastic resonance may be observed for the θ-variable. As a consequence, near-equatorial θ-trajectories lying on two θ-cones tend to mix between the two cones.
1 citations