一种通用的多涡卷洛伦兹系统族及其通过数字信号处理器的实现。

A general multiscroll Lorenz system family and its realization via digital signal processors.

作者信息

Yu Simin, Lü Jinhu, Tang Wallace K S, Chen Guanrong

机构信息

College of Automation, Guangdong University of Technology, Guangzhou 510090, People's Republic of China.

出版信息

Chaos. 2006 Sep;16(3):033126. doi: 10.1063/1.2336739.

DOI:10.1063/1.2336739

PMID:17014231

Abstract

This paper proposes a general multiscroll Lorenz system family by introducing a novel parameterized nth-order polynomial transformation. Some basic dynamical behaviors of this general multiscroll Lorenz system family are then investigated, including bifurcations, maximum Lyapunov exponents, and parameters regions. Furthermore, the general multiscroll Lorenz attractors are physically verified by using digital signal processors.

摘要

本文通过引入一种新颖的参数化n阶多项式变换，提出了一个通用的多涡卷洛伦兹系统族。然后研究了该通用多涡卷洛伦兹系统族的一些基本动力学行为，包括分岔、最大李雅普诺夫指数和参数区域。此外，利用数字信号处理器对通用多涡卷洛伦兹吸引子进行了物理验证。