3D-Lorenz-Attractor-simulation-with-python

Overview

3D-Lorenz-Attractor-simulation-with-python

Animação 3D da trajetória do Atrator de Lorenz, implementada em Python usando o método de Runge-Kutta de 4ª ordem.

Lorenz


Teoria

O atrator Lorenz é um conjunto de soluções caóticas de um sistema de equações diferenciais ordinárias chamado sistema de Lorenz. Estudado pela primeira vez por Edward Lorenz com a ajuda de Ellen Fetter, que desenvolveram um modelo matemático simplificado para a convecção atmosférica. O modelo é um sistema de três EDOs:

xyz

As variáveis de estado são x, y e z. A taxa na qual os estados estão mudando é denotada por dx/dt, dy/dt e dz/dt respectivamente. As constantes σ, ρ e β são os parâmetros físicos.

Owner
Hevenicio Silva
Possui graduação em Física pela Universidade de Brasília - UnB. Atualmente cursa mestrado em Engenharia Biomédica, na mesma universidade.
Hevenicio Silva
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