Application New Approach with Two Networks Slow and Fast on the Asynchronous Machine

In this paper, we propose a new modular approach called neuroglial consisting of two neural networks slow and fast which emulates a biological reality recently discovered. The implementation is based on complex multi-time scale systems; validation is performed on the model of the asynchronous machine. We applied the geometric approach based on the Gerschgorin circles for the decoupling of fast and slow variables, and the method of singular perturbations for the development of reductions models. This new architecture allows for smaller networks with less complexity and better performance in terms of mean square error and convergence than the single network model. Keywords—Gerschgorin’s Circles, Neuroglial Network, Multi time scales systems, Singular perturbation method.