摘要
描述了一个极其简单的三阶电路的动态性能和分岔现象.该电路由5个元件组成,其中唯一的非线性元件是无反馈结构共基极晶体管对,其特性是电流控制的非线性电阻.尽管这个电路非常简单,却具有丰富的分岔现象.为便于分析,将电路的其它参数固定,只变化电感L_1,即观察到了电路的许多动态现象,如倍周期,周期加2-混沌,阵发混沌,周期窗口,周期减1-混沌和各种混沌吸引子等.计算机模拟结果与实验观察基本一致,是令人满意的.并通过李稚普诺夫维数的计算肯定了电路中几种混沌吸引子的存在.
This paper reports the dynamic behavior and a great variety of one parameter bifurcation phenomena observed in the laboratory and reconfirmed by extensive computer simulations for the circuit reported before. The circuit consists of five elements, where the only nonlinear element is a common-base transistor pair with the characteristics of a current-controlled nonlinear resistor. Several strange attractors, the intermittent attractors, periodic windows, cascades of period doubling, period plus two and period minus one phenomena are observed by adjusting the value of L_1. All of these above-mentioned bifurcation phenomena are discussed. The computer simulation results agree with the experiment results quite nicely. The Lyapunov dimensions of several chaotic attractors are derived to confirm the existence of chaos.
出处
《北方交通大学学报》
CSCD
北大核心
1993年第2期131-137,共7页
Journal of Northern Jiaotong University
基金
国家自然科学基金资助项目
关键词
电路
分岔
浊沌
阵发浊沌
晶体管
nonlinear circuit
simulation
experiment/chaos
bifurcation
intermittent chaos
