Conclusion
During this lesson, we introduce some dynamical systems. We showed that the behavior of theses systems can be described using differential equations. The linear equations we introduced and it was shown that this can of equation can represent some processes. However, the evolution of large processes which can be found in the environment or industries do not follow a linear behavior. We introduce the nonlinear dynamical systems and gave some tools which allow us a better analysis of their behavior (stability). We showed that the evolution of these dynamical systems can have a chaotic behavior. We finished this llesson with some eexercises in order to allow the reader to practice.
