Abstract
We investigate synchronization in a system of globally, uniformly and linearly coupled Hindmarsh and Rose oscillators. These oscillators are physiologically realistic models of neural dynamics at the level of a single cell. Aplying a recently developed framework for the analysis of synchronization phenomena, passivitybased approach (A. Pogromsky, H. Nijmeijer), we derive sufficient conditions for global and local asymptotic synchronization in the system. Apart from showing the possibility of synchronization, we concentrate on estimating the least possible values for the coupling connections that are sufficient for convergence of the trajectories to the synchronization manifold.
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