title: Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators.
abstract: We consider networks of delay-coupled Stuart-Landau oscillators. In these systems, the coupling phase has been found to be a crucial control parameter. By proper choice of this parameter one can switch between different synchronous oscillatory states of the network. Applying the speed-gradient method, we derive an adaptive algorithm for an automatic adjustment of the coupling phase such that a desired state can be selected from an otherwise multistable regime. We propose goal functions based on both the difference of the oscillators and a generalized order parameter and demonstrate that the speed-gradient method allows one to find appropriate coupling phases with which different states of synchronization, e.g., in-phase oscillation, splay, or various cluster states, can be selected.
authors.affiliation: Department of Theoretical Cybernetics, Saint-Petersburg State University, Saint-Petersburg, Russia.
authors.forename: Anton A
authors.initials: AA
authors.lastname: Selivanov
authors.forename: Judith
authors.initials: J
authors.lastname: Lehnert
authors.forename: Thomas
authors.initials: T
authors.lastname: Dahms
authors.forename: Philipp
authors.initials: P
authors.lastname: Hövel
authors.forename: Alexander L
authors.initials: AL
authors.lastname: Fradkov
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll