Implementation of a Microcontroller-Based Chaotic Circuit of Lorenz Equations

Year 2020, Volume: 8 Issue: 4, 355 - 360, 30.10.2020

Şuayb Çağrı Yener , Reşat Mutlu , Ertuğrul Karakulak

https://doi.org/10.17694/bajece.624645

Cited By: 1

Abstract

Lorenz equations are commonly used in chaos
education and studies. Simulation programs can be used to produce solutions of
Lorenz equations and to examine its chaotic waveforms. However, sometimes a
chaotic signal source can be needed. Such a circuit can be made using either
analog or digital circuit components. Recently, a microcontroller-based circuit
is suggested to obtain chaotic waveforms of Lorenz equations however only
simulations are used to show proof of concept. Such circuit needs experimental
verification. In this paper, implementation and experimental verification of
the microcontroller-based circuit which solves Lorenz equations in real time
and produces its chaotic waveforms are presented. Runge-Kutta method is used to
solve the equation system. By using Proteus, microcontroller-based chaotic
circuit is simulated and designed. Presented design has been implemented using
an Arduino Mega 2560 R3 microcontroller. The microcontroller sends the chaotic signals
to the outputs of the circuit using digital-to-analog converters. The waveforms
acquired experimentally from the implemented circuit matches well with those
obtained from Proteus simulations.

Keywords

Chaotic circuits, Lorenz Equations, microcontroller based circuit implementation, Runge-kutta method

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