含微分负电感电路的分叉与混沌

Bifurcation and Chaos in a Circuit Containing a Nonlinear Conductor

本文通过对一个含非线性微分负电感的二阶非自治电路的物理实验和计算机模拟研究了电路中的混沌现象,找到了一些由分叉到混沌的道路,并对实验中的混沌信号进行了功率谱分析。在物理实验和计算机模拟中发现了一些新的现象,由此提出了非确定系统中的响应与确定系统中混沌类似的观点。

In this paper, chaotic oscillations in a 2—order non—autonomous circuit containing a type—N nonlnear conductor are discussed. Different sequences of bifurcation and chaos have been found in the circuit. Preliminary study has been carried out concerning the influence on chaotic state by changingф—i characteristics of the nonlinear conductor. The responses in non—determinate system and chaos in determinate system are similar. The dynamical characteristics of power spectrum are discussed. In the end of this paper, a question is presented waiting for confirmation that the orbit of the chaotic attractor in the piece—wise linear system is determinate when the system is given.