Behavior of TEM model with control parameter regulation

This paper is concerned with a mathematical derivation of the nonlinear time-discrete Technology Emission Means (TEM) model that discuss its behavior from the perspective of discrete dynamical systems. Nonlinear time-discrete dynamics tends to chaotic behavior. The addition of a control parameter into the dynamics of this model has led to new results in the field of time-discrete control systems. In this paper, we added another control parameter into the TEM model in the form of regulation. More ever we discuss stability theory of the TEM model, numerical solutions and compare their behavior before and after the addition of the regulatory control parameter. Finally, we obtained that by adding regulatory control parameter more stable than before.