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A model for synchronization of coupled Nakano's chaotic circuits is studied.The Nakano circuit consists of a simple RLC circuit with a switchvoltage-depending reset rule which generates a discontinuous dynamics. Thus,the model that we study is a network of identical spiking oscillators withintegrate-and-fire dynamics. The coupling between oscillators is linear, butthe network is subject to a common regime of reset depending on the globalstate of the oscillator population. This constitutes the simplest way of buildpulse-coupled networks with arbitrary topology for this type of oscillators,and it allows the emergence of synchronous states and different reset regimes.The main result is that under certain hypothesis over the weight matrix (thatrepresents the network topology) the different reset regimes match and theformalism of the master stability function can be generalized in order to studythe stability of the synchronous state and the discontinuous dynamic of thenetwork. Also, the low dimensionality of the Nakano's circuit allows toimplement the saltation-matrix method and numerical simulations can beperformed in order to analyze the role of the coupling mode in thesynchronization regime of the network and the influence of the voltage-typevariables.

On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling