Abstract for: A Non Smooth Model of National Energy Market for the Regional Energy Integration

In this paper a novel non-smooth model for a national energy market and its extension to n-countries is proposed, showing several differences from the traditional smooth models. The study begins with the classical treatment of system dynamics theory and “jumps” to non linear dynamical systems theory finding mathematical results about its complexity. Such results are important in creating processes of integration energy policy between countries, as for example in the latinamerican region, because trough of bifurcations diagrams (from dynamical systems theory) is possible to know what are the all possible scenarios of the system giving robustness to the decision making.