Introduction
When we describe the evolution of a system we use several variables, i.e. a set of magnitudes, functions of space and time, the values of which define everything we know about the system completely and unambiguously. Then, the evolution of the systems is given by the evolution of the set of variables, according to some specific laws. A dynamic system is defined by a set of variables and a set of differential equations such as
During this lesson, we will focus on a mathematical description of dynamical systems using ODEs, we will discuss the stability in time of such systems and their evolution to the chaos.
