Algunos elementos de las dinámicas tipo Lorenz

Abstract

In the mid-20th century, with the power to model behavior of climate Edward Lorenz designed a model from of differential equations, which have a behavior chaotic thus giving rise to the well-known Lorenz butterfly (or attractor strange Lorenz), with the introduction of this system originated a whole new theory about chaos, making this system a object of much study not only in mathematics but in different fields of science such as biology, physics or economics and thus presenting over time different investigations with Lorenz-like models. In order to delve into this topic, the objective of this work is the basic theory that is needed to understand the behavior of the Lorenz system as well as a mayor system dimension that is derived from this, going through the topics like stability, bifurcation, the relationship between the exponents of Lyapunov and the behavior of a system.