非线性动力系统分岔混沌实验演示装置的开发

Demo equipment of bifurcation and chaos in nonlinear dynamic systems

分岔和混沌现象是非线性系统中普遍存在的现象,由于其数学理论深奥,使得一般工程技术人员和大学生理解、掌握比较困难。为了使学生能够很直观地了解这些现象及其特征,以蔡氏电路为基础开发了1套非线性动力系统分岔混沌演示装置。该装置可以从示波器上直接观察到非线性动力系统中常见的分岔和混沌现象,以及通向混沌的道路。目前,该装置已成为非线性动力系统教学中的有利工具。

Bifurcation and chaos are ubiquitous phenomena in nonlinear dynamic systems. The study on this subject needs large mathematic knowledge, In order to help students understand these complex phenomena intuitively, a demo equipment of bifurcation and chaos based on Chua＇s circuit is researched. The time history or phase plane of common bifurcating and chaotic phenomena in nonlinear dynamic systems can be shown on screen of an oscillograph with the help of this equipment. At the same time, the route to chaos can be comprehended. It is a favorable tool in teaching nonlinear dynamic system.