一个非自治电路混沌特性的计算机分析与研究

Chaotic Characteristic Analysis and Research of a Non-autonomous Circuit

该文首先分析了Logistic映射的一些典型的混沌特性 ,然后运用与其相类比的分析研究方法 ,诸如时间序列分析方法、相图分析方法和分岔图分析方法 ,对一个非自治电路进行了计算机分析与研究。通过对描述该非自治电路的非线性微分方程进行求解和计算机分析 ,可以看到 ,当输入电压的幅值改变时 ,该电路系统的动力学特性对输入电压幅值有很强的敏感性。在对该非自治电路的分岔图进行了详细的计算机分析后 ,指出了该非自治电路从倍周期通向混沌的分岔点。以此 。

Under the analysis of typical chaotic characteristic of Logistic map, some similarity analysis and research methods were used to a non-autonomous circuit by computer analysis and research. The methods include time series analysis, phase diagram analysis and bifurcation diagram analysis. Through solving the nonlinear differential equation of the non-autonomous circuit by using computer, it showed that the dynamic characteristic of this non-autonomous circuit was very sensitive to voltage amplitude of input source. After a detailed calculation of bifurcation diagram of the non-autonomous circuit, its period double bifurcation points through to chaos were pointed out. So, this non-autonomous circuit is a typical nonlinear circuit with characteristic of chaotic phenomena.