Time-delayed feedback in neurosystems

E. Scholl, G. Hiller, P. Hovel, M. A Dahlem
2009 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences  
The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. 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,
more » ... hase 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.
doi:10.1098/rsta.2008.0258 pmid:19218152 fatcat:zln4kuehc5ff7htoqfssf4stp4