蔡氏电路分支(叉)边界的确定

Determination of Bifurcation Boundaries in Chua's Circuit

本文导出了蔡氏电路中稳定区域和分叉参数G或C_1之间的数学关系,并且发现当α<1(G分叉)或β<1(C_1分叉)时不稳定现象(包括混沌振荡在内)消失,从而达到了研究混沌电路的目的之一——确定分支和混沌消失时的边界。

A general mathematical expression between stability sectors and changes of the bifurcation parameters G and C1 in Chua's Circuit has been derived. It has been found that chaotic oscillations disappear when α<1 at G-bifurcation and when β<1 at C1-bifurcation. Thus one of the goals of investigating chaotic circuit (i. e. determining failure boundaries) is obtained.