Chaotic Characteristic Analysis and Research of a Non-autonomous Circuit

Shi Weifeng · Jisuanji fangzhen · 2004

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.

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