Inductorless Chua's Circuit: Experimental Time Series Analysis

R. M. Rubinger, A. W. M. Nascimento, L. F. Mello, C. P. L. Rubinger, N. Manzanares Filho and H. A. Albuquerque

Mathematical Problems in Engineering, 2007, vol. 2007, 1-16

Abstract:

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 Poincaré 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:083893

DOI: 10.1155/2007/83893

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