title: Zero-lag synchronization despite inhomogeneities in a relay system.
abstract: A novel proposal for the zero-lag synchronization of the delayed coupled neurons, is to connect them indirectly via a third relay neuron. In this study, we develop a Poincaré map to investigate the robustness of the synchrony in such a relay system against inhomogeneity in the neurons and synaptic parameters. We show that when the inhomogeneity does not violate the symmetry of the system, synchrony is maintained and in some cases inhomogeneity enhances synchrony. On the other hand if the inhomogeneity breaks the symmetry of the system, zero lag synchrony can not be preserved. In this case we give analytical results for the phase lag of the spiking of the neurons in the stable state.
authors.affiliation: Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
authors.forename: Zahra
authors.initials: Z
authors.lastname: Ghasemi Esfahani
authors.affiliation: Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
authors.forename: Alireza
authors.initials: A
authors.lastname: Valizadeh
mesh_terms: D000465:Algorithms; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*