title: Controlling synchrony in oscillatory networks via an act-and-wait algorithm.
abstract: The act-and-wait control algorithm is proposed to suppress synchrony in globally coupled oscillatory networks in the situation when the simultaneous registration and stimulation of the system is not possible. The algorithm involves the periodic repetition of the registration (wait) and stimulation (act) stages, such that in the first stage the mean field of the free system is recorded in a memory and in the second stage the system is stimulated with the recorded signal. A modified version of the algorithm that takes into account the charge-balanced requirement is considered as well. The efficiency of our algorithm is demonstrated analytically and numerically for globally coupled Landau-Stuart oscillators and synaptically all-to-all coupled FitzHugh-Nagumo as well as Hodgkin-Huxley neurons.
authors.affiliation: Center for Physical Sciences and Technology, A. Goštauto 11, LT-01108 Vilnius, Lithuania.
authors.forename: Irmantas
authors.initials: I
authors.lastname: Ratas
authors.affiliation: Center for Physical Sciences and Technology, A. Goštauto 11, LT-01108 Vilnius, Lithuania and Department of Theoretical Physics, Faculty of Physics, Vilnius University, LT-10222 Vilnius, Lithuania.
authors.forename: Kestutis
authors.initials: K
authors.lastname: Pyragas
mesh_terms: D000465:Algorithms; D017711:Nonlinear Dynamics; D013997:Time Factors