Synchronization in the System of Synaptically Coupled Neural Oscillators with Frequency-Dependent Coupling

We study the influence of the frequency-dependent coupling on synchronization in a model system of the synaptically coupled neural oscillators is studied. The ranges of parameters for which the locking of the frequency of the driven (output) neural oscillator is observed are obtained. The phase characteristics of oscillations in the synchronization regime are studied. The phase mappings are numerically plotted to describe the above-mentioned characteristics and analytical estimates for these mappings are obtained for certain restrictions imposed on the frequency characteristics of the oscillators. The effect of the frequency-dependent variation in the coupling is shown to lead to a substantial change (narrowing) of the synchronization regions compared with the case of fixed synaptic coupling.