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A Dual Realization of Chua's Chaotic Oscillator Using a Current-Controlled Nonlinear Resistor

2022/09/20 by Yihang Chen, Chen, Yihang, Weijie Dong +2
Computer Science · Physics and Astronomy · #Chaos control and synchronization #FOS: Electrical engineering #Neural Networks and Applications #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2210.00844

openalex publication_date 2022/09/20 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

A dual realization of Chuas chaotic oscillator is proposed using current-controlled nonlinear resistors, one linear resistor, one capacitor and two inductors. Two problems are solved. First, unit rescaling is necessary when transforming the standard chaotic equations into circuit equations to ensure that the current units are milliamperes. In addition, the connection and parameters of two current-controlled nonlinear resistors are set to build the required volt-ampere characteristics. The inductor currents show the classical characteristics of being sensitive to the circuit parameters and initial conditions. In addition, experimental verification is performed to demonstrate the feasibility of the circuit. Chuas dual circuit exhibits rich dynamic chaotic features and might bring new applications due to chaotic currents.

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