@zqbinggong 2016-05-09T09:52:30.000000Z 字数 1299 阅读 844

# the Lorenz nodel

homework of Computational Physics

Lorenz.py

## Abstract

The Lorenz system is a system of ordinary differential equations (the Lorenz equations, note it is not Lorentz) first studied by Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight.

## Key word

Lorenz system,chaos

## Background

The exerxise 3.29ask us to explore the intermittency route to chaos for $r \geq 163$ in more details.

## Body

### 1Overview

In 1963,Edward Lorenz developed a simplified mathematical model for atmospheric convection. The model is a system of three ordinary differential equations now known as the Lorenz equations:

From a technical standpoint, the Lorenz system is nonlinear three-dimensional and deterministic system. The Lorenz equations have been the subject of hundreds of research articles, and at least one book-length study.

## Acknowledgement

Thanks to Chwn yangyao for his template.

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