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Inductorless Chua' s Circuit: Experimental Time Series Analysis

机译：无电感蔡氏电路：实验时间序列分析

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We have implemented an operational amplifier inductorless realization of the Chua's circuit. We have registered time series from its dynamical variables with the resistor R as the control parameter and varying from 1300 Ω to 2000 Ω. Experimental time series at fixed R were used to reconstruct attractors by the delay vector technique. The flow attractors and their Poincare maps considering parameters such as the Lyapunov spectrum, its sub-product the Kaplan-Yorke dimension, and the information dimension are also analyzed here. The results for a typical double scroll attractor indicate a chaotic behavior characterized by a positive Lyapunov exponent and with a Kaplan-Yorke dimension of 2.14. The occurrence of chaos was also investigated through numerical simulations of the Chua's circuit set of differential equations.
机译：我们已经实现了Chua电路的运算放大器无电感器实现。我们已将其动态变量的时间序列记录为电阻R作为控制参数，并在1300Ω至2000Ω之间变化。利用固定的实验时间序列通过延迟矢量技术重建吸引子。还分析了考虑参数（例如Lyapunov谱，其子产品Kaplan-Yorke维和信息维）的引流器及其Poincare图。典型双涡旋吸引子的结果表明混沌行为的特征在于正Lyapunov指数，Kaplan-Yorke尺寸为2.14。还通过对蔡氏电路微分方程组的数值模拟研究了混沌的发生。

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