Chua Circuit based on the Exponential Characteristics of Semiconductor Devices

TL;DR

This paper explores a novel Chua circuit using the exponential hyperbolic nonlinearity of semiconductor devices, analyzing its stability, dynamics, and bifurcations through theoretical, numerical, and experimental methods.

Contribution

It introduces a new nonlinear model for the Chua circuit based on semiconductor exponential characteristics and investigates its dynamic behaviors and bifurcations.

Findings

The stability analysis predicts the circuit's dynamics accurately.

Experimental results show different behaviors due to real device non-idealities.

Parameter space mapping reveals diverse bifurcation scenarios.

Abstract

The use of non-ideal features of semiconductor devices is an interesting option for implementations of nonlinear electronic systems. This paper analyzes the Chua circuit with nonlinearity based on the exponential hyperbolic characteristics of semiconductor devices. The stability analysis using describing functions predicts the dynamics of this nonlinear system, which is corroborated by numerical investigations and experimental results. The dynamic behaviors and bifurcations of this nonlinear system are mapped in parameter space in order to create a base for studies, analyses, and designs. The dynamic behavior of the experimental high speed implementation of this version of Chua circuit differs from the expected dynamics for a conventional Chua circuit due to effects of unmodelled non-idealities of the real semiconductor devices, displaying that new and different dynamics for the Chua circuit can be obtained exploring different nonlinearities.