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

TL;DR

This paper presents a new dual circuit implementation of Chua's chaotic oscillator using current-controlled nonlinear resistors, with experimental validation showing rich chaotic dynamics and potential new applications.

Contribution

It introduces a novel dual realization method for Chua's oscillator with specific circuit design and parameter setting, including unit rescaling and experimental verification.

Findings

The circuit exhibits classical chaotic characteristics.

Experimental results confirm the feasibility of the design.

The chaotic currents suggest new application possibilities.

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.