O sistema de Lorenz e o caos determinístico

Abstract

This work was produced in the field of Mathematics with an emphasis on Continuous Time Dynamic Systems and Qualitative Theory of Differential Equations. For this, bib liographic study were developed with the objective of investigating the called Chaos pre sented in the Lorenz System (or Lorenz equations). For an analysis of the equations, we will use the qualitative technique of Jules Henri Poincaré (1854-1912). Instead of search for formulas using analytical methods, we will search for clues as to how a given non linear system evolves, investigating properties of the functions that make up this system. This equation analysis technique also search to describe the state variables and the re sults are represented in the phase space. Finally, the equilibrium points (or equilibrium solutions) are classified according to Lyapunov Stability Theory.