Possibility of synchronization in Hopfield like Chaotic Neural Networks with just adding a single neuron

The ability of chaos appearance in ANN is an effort to simulate the actual behavior of a living cell and it is important to discover effective tuning mechanisms for chaotic and oscillatory activities. In this paper, a new set of sufficient conditions is proposed that guarantees the synchronization of all neuron´s outputs with each other. Furthermore, we consider a possibility of synchronization in all outputs of the Hopfield like Chaotic Neural Networks with just adding a single neuron and adjusting the couplings connected to it. All neurons in this type of network have both self-coupling and non-invertible activation functions which enable them to act as chaotic oscillators. Finally, our claim is evaluated by performing simulations on two illustrative examples.