title: Time-delayed feedback in neurosystems.
abstract: The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. A time delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choice of the delay time, synchronization can be either enhanced or suppressed. In delay-coupled neurons, antiphase oscillations can be induced for sufficiently large delay and coupling strength. The additional application of time-delayed self-feedback leads to complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns or amplitude death.
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany. schoell@physik.tu-berlin.de
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll
authors.forename: Gerald
authors.initials: G
authors.lastname: Hiller
authors.forename: Philipp
authors.initials: P
authors.lastname: Hövel
authors.forename: Markus A
authors.initials: MA
authors.lastname: Dahlem
mesh_terms: D000818:Animals; D001369:Axons / Q000502:physiology; D005246:Feedback / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D009991:Oscillometry; D011930:Reaction Time; D013269:Stochastic Processes