研究蔡氏电路家族混沌的通用电路

G. Lin
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引用次数: 5

摘要

作者提出了一种典型的分段线性电路,能够实现蔡氏电路族的所有成员。它只包含6个双端元素;其中五个是线性电阻、电容和电感,只有一个是三段式分段线性电阻。它是典型的,因为它可以显示与任何三区域对称分段线性连续向量场相关的所有可能现象,并且它包含了这样一个电路所需的最小数量的电路元件。利用这个电路,发现了许多以前没有观察到的混沌吸引子。其中,作者报告了一个特殊的例子:非分形混沌吸引子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A universal circuit for studying chaos in Chua's circuit family
The author presents a canonical piecewise-linear circuit capable of realizing every member of Chua's circuit family. It contains only six two-terminal elements; five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that: it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector field, and it contains the minimum number of circuit elements needed for such a circuit. Using this circuit, many chaotic attractors which have not been observed before have been found. Among them, the author reports on a special example: a nonfractal chaotic attractor.<>
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