Inductorless Chua's Circuit: Experimental Time Series Analysis
2007
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 subproduct 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.
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